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Finding the Fourth Proportional to 7,798.52, 11,677.80 and 5,157.93

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Solution

The fourth proportional to 7,798.52, 11,677.80 and 5,157.93 is: 7,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.52 : 11,677.80 = 5,157.93 : x
  2. Step 2: Convert to fraction form
    7,798.52/11,677.80 = 5,157.93/x
  3. Step 3: Cross multiply
    7,798.52x = 11,677.80 × 5,157.93
  4. Step 4: Simplify right side
    7,798.52x = 60,233,274.95
  5. Step 5: Solve for x
    x = 60,233,274.95/7,798.52
  6. Step 6: Final answer
    x = 7,723.69

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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.