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Finding the Fourth Proportional to 3,248.80, 4,876.40 and 1,607.20

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Solution

The fourth proportional to 3,248.80, 4,876.40 and 1,607.20 is: 2,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248.80 : 4,876.40 = 1,607.20 : x
  2. Step 2: Convert to fraction form
    3,248.80/4,876.40 = 1,607.20/x
  3. Step 3: Cross multiply
    3,248.80x = 4,876.40 × 1,607.20
  4. Step 4: Simplify right side
    3,248.80x = 7,837,350.08
  5. Step 5: Solve for x
    x = 7,837,350.08/3,248.80
  6. Step 6: Final answer
    x = 2,412.38

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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.