Home / 1,533.62-2,116.36-834.98

Finding the Fourth Proportional to 1,533.62, 2,116.36 and 834.98

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Solution

The fourth proportional to 1,533.62, 2,116.36 and 834.98 is: 1,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.62 : 2,116.36 = 834.98 : x
  2. Step 2: Convert to fraction form
    1,533.62/2,116.36 = 834.98/x
  3. Step 3: Cross multiply
    1,533.62x = 2,116.36 × 834.98
  4. Step 4: Simplify right side
    1,533.62x = 1,767,118.27
  5. Step 5: Solve for x
    x = 1,767,118.27/1,533.62
  6. Step 6: Final answer
    x = 1,152.25

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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.