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Finding the Fourth Proportional to 7,542, 11,302.08 and 6,615.36

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Solution

The fourth proportional to 7,542, 11,302.08 and 6,615.36 is: 9,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542 : 11,302.08 = 6,615.36 : x
  2. Step 2: Convert to fraction form
    7,542/11,302.08 = 6,615.36/x
  3. Step 3: Cross multiply
    7,542x = 11,302.08 × 6,615.36
  4. Step 4: Simplify right side
    7,542x = 74,767,327.95
  5. Step 5: Solve for x
    x = 74,767,327.95/7,542
  6. Step 6: Final answer
    x = 9,913.46

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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.