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Finding the Fourth Proportional to 3,155.60, 4,729.08 and 2,002.16

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Solution

The fourth proportional to 3,155.60, 4,729.08 and 2,002.16 is: 3,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.60 : 4,729.08 = 2,002.16 : x
  2. Step 2: Convert to fraction form
    3,155.60/4,729.08 = 2,002.16/x
  3. Step 3: Cross multiply
    3,155.60x = 4,729.08 × 2,002.16
  4. Step 4: Simplify right side
    3,155.60x = 9,468,374.81
  5. Step 5: Solve for x
    x = 9,468,374.81/3,155.60
  6. Step 6: Final answer
    x = 3,000.50

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Why These Related Problems?

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