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Finding the Fourth Proportional to 7,527, 10,387.24 and 4,169.82

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Solution

The fourth proportional to 7,527, 10,387.24 and 4,169.82 is: 5,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527 : 10,387.24 = 4,169.82 : x
  2. Step 2: Convert to fraction form
    7,527/10,387.24 = 4,169.82/x
  3. Step 3: Cross multiply
    7,527x = 10,387.24 × 4,169.82
  4. Step 4: Simplify right side
    7,527x = 43,312,921.10
  5. Step 5: Solve for x
    x = 43,312,921.10/7,527
  6. Step 6: Final answer
    x = 5,754.34

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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.