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Finding the Fourth Proportional to 9,902.76, 14,853.18 and 7,142.44

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Solution

The fourth proportional to 9,902.76, 14,853.18 and 7,142.44 is: 10,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.76 : 14,853.18 = 7,142.44 : x
  2. Step 2: Convert to fraction form
    9,902.76/14,853.18 = 7,142.44/x
  3. Step 3: Cross multiply
    9,902.76x = 14,853.18 × 7,142.44
  4. Step 4: Simplify right side
    9,902.76x = 106,087,946.96
  5. Step 5: Solve for x
    x = 106,087,946.96/9,902.76
  6. Step 6: Final answer
    x = 10,712.97

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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.