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Finding the Fourth Proportional to 19,978.90, 29,981.73 and 8,292.13

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Solution

The fourth proportional to 19,978.90, 29,981.73 and 8,292.13 is: 12,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.90 : 29,981.73 = 8,292.13 : x
  2. Step 2: Convert to fraction form
    19,978.90/29,981.73 = 8,292.13/x
  3. Step 3: Cross multiply
    19,978.90x = 29,981.73 × 8,292.13
  4. Step 4: Simplify right side
    19,978.90x = 248,612,477.74
  5. Step 5: Solve for x
    x = 248,612,477.74/19,978.90
  6. Step 6: Final answer
    x = 12,443.75

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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.