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Finding the Fourth Proportional to 9,891.60, 14,765.20 and 8,646.08

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Solution

The fourth proportional to 9,891.60, 14,765.20 and 8,646.08 is: 12,906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.60 : 14,765.20 = 8,646.08 : x
  2. Step 2: Convert to fraction form
    9,891.60/14,765.20 = 8,646.08/x
  3. Step 3: Cross multiply
    9,891.60x = 14,765.20 × 8,646.08
  4. Step 4: Simplify right side
    9,891.60x = 127,661,100.42
  5. Step 5: Solve for x
    x = 127,661,100.42/9,891.60
  6. Step 6: Final answer
    x = 12,906.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.