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Finding the Fourth Proportional to 8,590.78, 12,891.13 and 4,642.05

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Solution

The fourth proportional to 8,590.78, 12,891.13 and 4,642.05 is: 6,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.78 : 12,891.13 = 4,642.05 : x
  2. Step 2: Convert to fraction form
    8,590.78/12,891.13 = 4,642.05/x
  3. Step 3: Cross multiply
    8,590.78x = 12,891.13 × 4,642.05
  4. Step 4: Simplify right side
    8,590.78x = 59,841,270.02
  5. Step 5: Solve for x
    x = 59,841,270.02/8,590.78
  6. Step 6: Final answer
    x = 6,965.76

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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.