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Finding the Fourth Proportional to 9,164.40, 12,651.48 and 7,666.80

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Solution

The fourth proportional to 9,164.40, 12,651.48 and 7,666.80 is: 10,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.40 : 12,651.48 = 7,666.80 : x
  2. Step 2: Convert to fraction form
    9,164.40/12,651.48 = 7,666.80/x
  3. Step 3: Cross multiply
    9,164.40x = 12,651.48 × 7,666.80
  4. Step 4: Simplify right side
    9,164.40x = 96,996,366.86
  5. Step 5: Solve for x
    x = 96,996,366.86/9,164.40
  6. Step 6: Final answer
    x = 10,584.04

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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.