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Finding the Fourth Proportional to 7,809.77, 11,715.87 and 2,543.53

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Solution

The fourth proportional to 7,809.77, 11,715.87 and 2,543.53 is: 3,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.77 : 11,715.87 = 2,543.53 : x
  2. Step 2: Convert to fraction form
    7,809.77/11,715.87 = 2,543.53/x
  3. Step 3: Cross multiply
    7,809.77x = 11,715.87 × 2,543.53
  4. Step 4: Simplify right side
    7,809.77x = 29,799,666.82
  5. Step 5: Solve for x
    x = 29,799,666.82/7,809.77
  6. Step 6: Final answer
    x = 3,815.69

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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.