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Finding the Fourth Proportional to 7,854.80, 11,780.98 and 5,101.00

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Solution

The fourth proportional to 7,854.80, 11,780.98 and 5,101.00 is: 7,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.80 : 11,780.98 = 5,101.00 : x
  2. Step 2: Convert to fraction form
    7,854.80/11,780.98 = 5,101.00/x
  3. Step 3: Cross multiply
    7,854.80x = 11,780.98 × 5,101.00
  4. Step 4: Simplify right side
    7,854.80x = 60,094,707.32
  5. Step 5: Solve for x
    x = 60,094,707.32/7,854.80
  6. Step 6: Final answer
    x = 7,650.70

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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.