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Finding the Fourth Proportional to 14,144.32, 19,510.18 and 8,691

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Solution

The fourth proportional to 14,144.32, 19,510.18 and 8,691 is: 11,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.32 : 19,510.18 = 8,691 : x
  2. Step 2: Convert to fraction form
    14,144.32/19,510.18 = 8,691/x
  3. Step 3: Cross multiply
    14,144.32x = 19,510.18 × 8,691
  4. Step 4: Simplify right side
    14,144.32x = 169,562,974.38
  5. Step 5: Solve for x
    x = 169,562,974.38/14,144.32
  6. Step 6: Final answer
    x = 11,988.06

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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.