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Finding the Fourth Proportional to 8,047.30, 12,066.90 and 4,761.40

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Solution

The fourth proportional to 8,047.30, 12,066.90 and 4,761.40 is: 7,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.30 : 12,066.90 = 4,761.40 : x
  2. Step 2: Convert to fraction form
    8,047.30/12,066.90 = 4,761.40/x
  3. Step 3: Cross multiply
    8,047.30x = 12,066.90 × 4,761.40
  4. Step 4: Simplify right side
    8,047.30x = 57,455,337.66
  5. Step 5: Solve for x
    x = 57,455,337.66/8,047.30
  6. Step 6: Final answer
    x = 7,139.70

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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.