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Finding the Fourth Proportional to 8,437.68, 12,656.72 and 2,891

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Solution

The fourth proportional to 8,437.68, 12,656.72 and 2,891 is: 4,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.68 : 12,656.72 = 2,891 : x
  2. Step 2: Convert to fraction form
    8,437.68/12,656.72 = 2,891/x
  3. Step 3: Cross multiply
    8,437.68x = 12,656.72 × 2,891
  4. Step 4: Simplify right side
    8,437.68x = 36,590,577.52
  5. Step 5: Solve for x
    x = 36,590,577.52/8,437.68
  6. Step 6: Final answer
    x = 4,336.57

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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.