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Finding the Fourth Proportional to 6,489.60, 9,708.80 and 5,875.20

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Solution

The fourth proportional to 6,489.60, 9,708.80 and 5,875.20 is: 8,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.60 : 9,708.80 = 5,875.20 : x
  2. Step 2: Convert to fraction form
    6,489.60/9,708.80 = 5,875.20/x
  3. Step 3: Cross multiply
    6,489.60x = 9,708.80 × 5,875.20
  4. Step 4: Simplify right side
    6,489.60x = 57,041,141.76
  5. Step 5: Solve for x
    x = 57,041,141.76/6,489.60
  6. Step 6: Final answer
    x = 8,789.62

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1.5x scale

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.