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Finding the Fourth Proportional to 10,489.60, 15,734.40 and 6,596.80

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Solution

The fourth proportional to 10,489.60, 15,734.40 and 6,596.80 is: 9,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.60 : 15,734.40 = 6,596.80 : x
  2. Step 2: Convert to fraction form
    10,489.60/15,734.40 = 6,596.80/x
  3. Step 3: Cross multiply
    10,489.60x = 15,734.40 × 6,596.80
  4. Step 4: Simplify right side
    10,489.60x = 103,796,689.92
  5. Step 5: Solve for x
    x = 103,796,689.92/10,489.60
  6. Step 6: Final answer
    x = 9,895.20

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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.