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Finding the Fourth Proportional to 20,978.72, 31,468.14 and 7,830.89

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Solution

The fourth proportional to 20,978.72, 31,468.14 and 7,830.89 is: 11,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.72 : 31,468.14 = 7,830.89 : x
  2. Step 2: Convert to fraction form
    20,978.72/31,468.14 = 7,830.89/x
  3. Step 3: Cross multiply
    20,978.72x = 31,468.14 × 7,830.89
  4. Step 4: Simplify right side
    20,978.72x = 246,423,385.50
  5. Step 5: Solve for x
    x = 246,423,385.50/20,978.72
  6. Step 6: Final answer
    x = 11,746.35

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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.