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Finding the Fourth Proportional to 9,312.66, 12,869.82 and 7,631.28

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Solution

The fourth proportional to 9,312.66, 12,869.82 and 7,631.28 is: 10,546.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.66 : 12,869.82 = 7,631.28 : x
  2. Step 2: Convert to fraction form
    9,312.66/12,869.82 = 7,631.28/x
  3. Step 3: Cross multiply
    9,312.66x = 12,869.82 × 7,631.28
  4. Step 4: Simplify right side
    9,312.66x = 98,213,199.97
  5. Step 5: Solve for x
    x = 98,213,199.97/9,312.66
  6. Step 6: Final answer
    x = 10,546.20

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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.