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Finding the Fourth Proportional to 4,871.60, 7,314.60 and 3,417.20

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Solution

The fourth proportional to 4,871.60, 7,314.60 and 3,417.20 is: 5,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.60 : 7,314.60 = 3,417.20 : x
  2. Step 2: Convert to fraction form
    4,871.60/7,314.60 = 3,417.20/x
  3. Step 3: Cross multiply
    4,871.60x = 7,314.60 × 3,417.20
  4. Step 4: Simplify right side
    4,871.60x = 24,995,451.12
  5. Step 5: Solve for x
    x = 24,995,451.12/4,871.60
  6. Step 6: Final answer
    x = 5,130.85

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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.