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Finding the Fourth Proportional to 20,656.74, 30,978.90 and 5,866.86

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Solution

The fourth proportional to 20,656.74, 30,978.90 and 5,866.86 is: 8,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,656.74 : 30,978.90 = 5,866.86 : x
  2. Step 2: Convert to fraction form
    20,656.74/30,978.90 = 5,866.86/x
  3. Step 3: Cross multiply
    20,656.74x = 30,978.90 × 5,866.86
  4. Step 4: Simplify right side
    20,656.74x = 181,748,869.25
  5. Step 5: Solve for x
    x = 181,748,869.25/20,656.74
  6. Step 6: Final answer
    x = 8,798.53

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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.