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Finding the Fourth Proportional to 7,972.90, 11,963.88 and 7,545.35

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Solution

The fourth proportional to 7,972.90, 11,963.88 and 7,545.35 is: 11,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.90 : 11,963.88 = 7,545.35 : x
  2. Step 2: Convert to fraction form
    7,972.90/11,963.88 = 7,545.35/x
  3. Step 3: Cross multiply
    7,972.90x = 11,963.88 × 7,545.35
  4. Step 4: Simplify right side
    7,972.90x = 90,271,691.87
  5. Step 5: Solve for x
    x = 90,271,691.87/7,972.90
  6. Step 6: Final answer
    x = 11,322.32

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1.5x scale

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.