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Finding the Fourth Proportional to 10,642.43, 15,935.73 and 7,505.43

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Solution

The fourth proportional to 10,642.43, 15,935.73 and 7,505.43 is: 11,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.43 : 15,935.73 = 7,505.43 : x
  2. Step 2: Convert to fraction form
    10,642.43/15,935.73 = 7,505.43/x
  3. Step 3: Cross multiply
    10,642.43x = 15,935.73 × 7,505.43
  4. Step 4: Simplify right side
    10,642.43x = 119,604,506.01
  5. Step 5: Solve for x
    x = 119,604,506.01/10,642.43
  6. Step 6: Final answer
    x = 11,238.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.