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Finding the Fourth Proportional to 20,978.48, 28,948.23 and 12,023.93

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Solution

The fourth proportional to 20,978.48, 28,948.23 and 12,023.93 is: 16,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.48 : 28,948.23 = 12,023.93 : x
  2. Step 2: Convert to fraction form
    20,978.48/28,948.23 = 12,023.93/x
  3. Step 3: Cross multiply
    20,978.48x = 28,948.23 × 12,023.93
  4. Step 4: Simplify right side
    20,978.48x = 348,071,346.40
  5. Step 5: Solve for x
    x = 348,071,346.40/20,978.48
  6. Step 6: Final answer
    x = 16,591.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.