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Finding the Fourth Proportional to 12,807.10, 17,677.14 and 8,343.10

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Solution

The fourth proportional to 12,807.10, 17,677.14 and 8,343.10 is: 11,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.10 : 17,677.14 = 8,343.10 : x
  2. Step 2: Convert to fraction form
    12,807.10/17,677.14 = 8,343.10/x
  3. Step 3: Cross multiply
    12,807.10x = 17,677.14 × 8,343.10
  4. Step 4: Simplify right side
    12,807.10x = 147,482,146.73
  5. Step 5: Solve for x
    x = 147,482,146.73/12,807.10
  6. Step 6: Final answer
    x = 11,515.66

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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.