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Finding the Fourth Proportional to 9,102.52, 12,520.79 and 7,773.98

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Solution

The fourth proportional to 9,102.52, 12,520.79 and 7,773.98 is: 10,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.52 : 12,520.79 = 7,773.98 : x
  2. Step 2: Convert to fraction form
    9,102.52/12,520.79 = 7,773.98/x
  3. Step 3: Cross multiply
    9,102.52x = 12,520.79 × 7,773.98
  4. Step 4: Simplify right side
    9,102.52x = 97,336,371.04
  5. Step 5: Solve for x
    x = 97,336,371.04/9,102.52
  6. Step 6: Final answer
    x = 10,693.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.