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Finding the Fourth Proportional to 5,148.90, 7,712.55 and 4,601.70

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Solution

The fourth proportional to 5,148.90, 7,712.55 and 4,601.70 is: 6,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.90 : 7,712.55 = 4,601.70 : x
  2. Step 2: Convert to fraction form
    5,148.90/7,712.55 = 4,601.70/x
  3. Step 3: Cross multiply
    5,148.90x = 7,712.55 × 4,601.70
  4. Step 4: Simplify right side
    5,148.90x = 35,490,841.34
  5. Step 5: Solve for x
    x = 35,490,841.34/5,148.90
  6. Step 6: Final answer
    x = 6,892.90

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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.