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Finding the Fourth Proportional to 10,787, 14,885.70 and 6,071

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Solution

The fourth proportional to 10,787, 14,885.70 and 6,071 is: 8,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787 : 14,885.70 = 6,071 : x
  2. Step 2: Convert to fraction form
    10,787/14,885.70 = 6,071/x
  3. Step 3: Cross multiply
    10,787x = 14,885.70 × 6,071
  4. Step 4: Simplify right side
    10,787x = 90,371,084.70
  5. Step 5: Solve for x
    x = 90,371,084.70/10,787
  6. Step 6: Final answer
    x = 8,377.78

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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.