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Finding the Fourth Proportional to 7,887.68, 10,891.55 and 7,046.90

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Solution

The fourth proportional to 7,887.68, 10,891.55 and 7,046.90 is: 9,730.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.68 : 10,891.55 = 7,046.90 : x
  2. Step 2: Convert to fraction form
    7,887.68/10,891.55 = 7,046.90/x
  3. Step 3: Cross multiply
    7,887.68x = 10,891.55 × 7,046.90
  4. Step 4: Simplify right side
    7,887.68x = 76,751,663.70
  5. Step 5: Solve for x
    x = 76,751,663.70/7,887.68
  6. Step 6: Final answer
    x = 9,730.58

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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.