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Finding the Fourth Proportional to 4,287.60, 6,436.80 and 2,314.80

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Solution

The fourth proportional to 4,287.60, 6,436.80 and 2,314.80 is: 3,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.60 : 6,436.80 = 2,314.80 : x
  2. Step 2: Convert to fraction form
    4,287.60/6,436.80 = 2,314.80/x
  3. Step 3: Cross multiply
    4,287.60x = 6,436.80 × 2,314.80
  4. Step 4: Simplify right side
    4,287.60x = 14,899,904.64
  5. Step 5: Solve for x
    x = 14,899,904.64/4,287.60
  6. Step 6: Final answer
    x = 3,475.12

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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.