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Finding the Fourth Proportional to 22,307.64, 30,784.54 and 12,876.20

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Solution

The fourth proportional to 22,307.64, 30,784.54 and 12,876.20 is: 17,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.64 : 30,784.54 = 12,876.20 : x
  2. Step 2: Convert to fraction form
    22,307.64/30,784.54 = 12,876.20/x
  3. Step 3: Cross multiply
    22,307.64x = 30,784.54 × 12,876.20
  4. Step 4: Simplify right side
    22,307.64x = 396,387,893.95
  5. Step 5: Solve for x
    x = 396,387,893.95/22,307.64
  6. Step 6: Final answer
    x = 17,769.15

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1.5x scale

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.