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Finding the Fourth Proportional to 6,280.87, 9,412.51 and 4,719.88

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Solution

The fourth proportional to 6,280.87, 9,412.51 and 4,719.88 is: 7,073.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.87 : 9,412.51 = 4,719.88 : x
  2. Step 2: Convert to fraction form
    6,280.87/9,412.51 = 4,719.88/x
  3. Step 3: Cross multiply
    6,280.87x = 9,412.51 × 4,719.88
  4. Step 4: Simplify right side
    6,280.87x = 44,425,847.04
  5. Step 5: Solve for x
    x = 44,425,847.04/6,280.87
  6. Step 6: Final answer
    x = 7,073.20

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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.