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Finding the Fourth Proportional to 8,038.38, 12,076.12 and 7,706.24

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Solution

The fourth proportional to 8,038.38, 12,076.12 and 7,706.24 is: 11,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.38 : 12,076.12 = 7,706.24 : x
  2. Step 2: Convert to fraction form
    8,038.38/12,076.12 = 7,706.24/x
  3. Step 3: Cross multiply
    8,038.38x = 12,076.12 × 7,706.24
  4. Step 4: Simplify right side
    8,038.38x = 93,061,478.99
  5. Step 5: Solve for x
    x = 93,061,478.99/8,038.38
  6. Step 6: Final answer
    x = 11,577.14

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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.