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Finding the Fourth Proportional to 7,166.10, 10,724.85 and 6,291.30

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Solution

The fourth proportional to 7,166.10, 10,724.85 and 6,291.30 is: 9,415.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.10 : 10,724.85 = 6,291.30 : x
  2. Step 2: Convert to fraction form
    7,166.10/10,724.85 = 6,291.30/x
  3. Step 3: Cross multiply
    7,166.10x = 10,724.85 × 6,291.30
  4. Step 4: Simplify right side
    7,166.10x = 67,473,248.81
  5. Step 5: Solve for x
    x = 67,473,248.81/7,166.10
  6. Step 6: Final answer
    x = 9,415.62

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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.