Home / 1,533.67-2,116.26-973.15

Finding the Fourth Proportional to 1,533.67, 2,116.26 and 973.15

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Solution

The fourth proportional to 1,533.67, 2,116.26 and 973.15 is: 1,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.67 : 2,116.26 = 973.15 : x
  2. Step 2: Convert to fraction form
    1,533.67/2,116.26 = 973.15/x
  3. Step 3: Cross multiply
    1,533.67x = 2,116.26 × 973.15
  4. Step 4: Simplify right side
    1,533.67x = 2,059,433.13
  5. Step 5: Solve for x
    x = 2,059,433.13/1,533.67
  6. Step 6: Final answer
    x = 1,342.82

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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.