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Finding the Fourth Proportional to 8,900.64, 12,287.52 and 8,311.68

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Solution

The fourth proportional to 8,900.64, 12,287.52 and 8,311.68 is: 11,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.64 : 12,287.52 = 8,311.68 : x
  2. Step 2: Convert to fraction form
    8,900.64/12,287.52 = 8,311.68/x
  3. Step 3: Cross multiply
    8,900.64x = 12,287.52 × 8,311.68
  4. Step 4: Simplify right side
    8,900.64x = 102,129,934.23
  5. Step 5: Solve for x
    x = 102,129,934.23/8,900.64
  6. Step 6: Final answer
    x = 11,474.45

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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.