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Finding the Fourth Proportional to 8,312.14, 11,472.18 and 7,938.46

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Solution

The fourth proportional to 8,312.14, 11,472.18 and 7,938.46 is: 10,956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.14 : 11,472.18 = 7,938.46 : x
  2. Step 2: Convert to fraction form
    8,312.14/11,472.18 = 7,938.46/x
  3. Step 3: Cross multiply
    8,312.14x = 11,472.18 × 7,938.46
  4. Step 4: Simplify right side
    8,312.14x = 91,071,442.04
  5. Step 5: Solve for x
    x = 91,071,442.04/8,312.14
  6. Step 6: Final answer
    x = 10,956.44

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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.