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Finding the Fourth Proportional to 7,505.16, 10,345.15 and 5,909.28

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Solution

The fourth proportional to 7,505.16, 10,345.15 and 5,909.28 is: 8,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.16 : 10,345.15 = 5,909.28 : x
  2. Step 2: Convert to fraction form
    7,505.16/10,345.15 = 5,909.28/x
  3. Step 3: Cross multiply
    7,505.16x = 10,345.15 × 5,909.28
  4. Step 4: Simplify right side
    7,505.16x = 61,132,395.38
  5. Step 5: Solve for x
    x = 61,132,395.38/7,505.16
  6. Step 6: Final answer
    x = 8,145.38

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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.