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Finding the Fourth Proportional to 1,533.82, 2,116.67 and 835.19

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Solution

The fourth proportional to 1,533.82, 2,116.67 and 835.19 is: 1,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.82 : 2,116.67 = 835.19 : x
  2. Step 2: Convert to fraction form
    1,533.82/2,116.67 = 835.19/x
  3. Step 3: Cross multiply
    1,533.82x = 2,116.67 × 835.19
  4. Step 4: Simplify right side
    1,533.82x = 1,767,821.62
  5. Step 5: Solve for x
    x = 1,767,821.62/1,533.82
  6. Step 6: Final answer
    x = 1,152.56

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,534.82, 2,118.05 and 836.19
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.