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Finding the Fourth Proportional to 7,355.52, 11,031.84 and 2,972.16

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Solution

The fourth proportional to 7,355.52, 11,031.84 and 2,972.16 is: 4,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.52 : 11,031.84 = 2,972.16 : x
  2. Step 2: Convert to fraction form
    7,355.52/11,031.84 = 2,972.16/x
  3. Step 3: Cross multiply
    7,355.52x = 11,031.84 × 2,972.16
  4. Step 4: Simplify right side
    7,355.52x = 32,788,393.57
  5. Step 5: Solve for x
    x = 32,788,393.57/7,355.52
  6. Step 6: Final answer
    x = 4,457.66

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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.