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Finding the Fourth Proportional to 9,201.60, 12,700.80 and 8,294.40

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Solution

The fourth proportional to 9,201.60, 12,700.80 and 8,294.40 is: 11,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.60 : 12,700.80 = 8,294.40 : x
  2. Step 2: Convert to fraction form
    9,201.60/12,700.80 = 8,294.40/x
  3. Step 3: Cross multiply
    9,201.60x = 12,700.80 × 8,294.40
  4. Step 4: Simplify right side
    9,201.60x = 105,345,515.52
  5. Step 5: Solve for x
    x = 105,345,515.52/9,201.60
  6. Step 6: Final answer
    x = 11,448.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.