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Finding the Fourth Proportional to 9,900.68, 14,853.77 and 8,047.20

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Solution

The fourth proportional to 9,900.68, 14,853.77 and 8,047.20 is: 12,073.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.68 : 14,853.77 = 8,047.20 : x
  2. Step 2: Convert to fraction form
    9,900.68/14,853.77 = 8,047.20/x
  3. Step 3: Cross multiply
    9,900.68x = 14,853.77 × 8,047.20
  4. Step 4: Simplify right side
    9,900.68x = 119,531,217.71
  5. Step 5: Solve for x
    x = 119,531,217.71/9,900.68
  6. Step 6: Final answer
    x = 12,073.04

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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.