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Finding the Fourth Proportional to 3,402.72, 5,098.32 and 3,070.80

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Solution

The fourth proportional to 3,402.72, 5,098.32 and 3,070.80 is: 4,601.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.72 : 5,098.32 = 3,070.80 : x
  2. Step 2: Convert to fraction form
    3,402.72/5,098.32 = 3,070.80/x
  3. Step 3: Cross multiply
    3,402.72x = 5,098.32 × 3,070.80
  4. Step 4: Simplify right side
    3,402.72x = 15,655,921.06
  5. Step 5: Solve for x
    x = 15,655,921.06/3,402.72
  6. Step 6: Final answer
    x = 4,601.00

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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.