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Finding the Fourth Proportional to 8,715.78, 13,070.20 and 3,166.10

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Solution

The fourth proportional to 8,715.78, 13,070.20 and 3,166.10 is: 4,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.78 : 13,070.20 = 3,166.10 : x
  2. Step 2: Convert to fraction form
    8,715.78/13,070.20 = 3,166.10/x
  3. Step 3: Cross multiply
    8,715.78x = 13,070.20 × 3,166.10
  4. Step 4: Simplify right side
    8,715.78x = 41,381,560.22
  5. Step 5: Solve for x
    x = 41,381,560.22/8,715.78
  6. Step 6: Final answer
    x = 4,747.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.