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Finding the Fourth Proportional to 7,542, 11,312.98 and 5,167.74

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Solution

The fourth proportional to 7,542, 11,312.98 and 5,167.74 is: 7,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542 : 11,312.98 = 5,167.74 : x
  2. Step 2: Convert to fraction form
    7,542/11,312.98 = 5,167.74/x
  3. Step 3: Cross multiply
    7,542x = 11,312.98 × 5,167.74
  4. Step 4: Simplify right side
    7,542x = 58,462,539.27
  5. Step 5: Solve for x
    x = 58,462,539.27/7,542
  6. Step 6: Final answer
    x = 7,751.60

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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.