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Finding the Fourth Proportional to 9,785.80, 14,656.20 and 8,036.20

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Solution

The fourth proportional to 9,785.80, 14,656.20 and 8,036.20 is: 12,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.80 : 14,656.20 = 8,036.20 : x
  2. Step 2: Convert to fraction form
    9,785.80/14,656.20 = 8,036.20/x
  3. Step 3: Cross multiply
    9,785.80x = 14,656.20 × 8,036.20
  4. Step 4: Simplify right side
    9,785.80x = 117,780,154.44
  5. Step 5: Solve for x
    x = 117,780,154.44/9,785.80
  6. Step 6: Final answer
    x = 12,035.82

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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.