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Finding the Fourth Proportional to 10,582.80, 15,874.20 and 6,646.20

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Solution

The fourth proportional to 10,582.80, 15,874.20 and 6,646.20 is: 9,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.80 : 15,874.20 = 6,646.20 : x
  2. Step 2: Convert to fraction form
    10,582.80/15,874.20 = 6,646.20/x
  3. Step 3: Cross multiply
    10,582.80x = 15,874.20 × 6,646.20
  4. Step 4: Simplify right side
    10,582.80x = 105,503,108.04
  5. Step 5: Solve for x
    x = 105,503,108.04/10,582.80
  6. Step 6: Final answer
    x = 9,969.30

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Similar ratio
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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.