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Finding the Fourth Proportional to 21,894.78, 32,842.02 and 8,569.12

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Solution

The fourth proportional to 21,894.78, 32,842.02 and 8,569.12 is: 12,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.78 : 32,842.02 = 8,569.12 : x
  2. Step 2: Convert to fraction form
    21,894.78/32,842.02 = 8,569.12/x
  3. Step 3: Cross multiply
    21,894.78x = 32,842.02 × 8,569.12
  4. Step 4: Simplify right side
    21,894.78x = 281,427,210.42
  5. Step 5: Solve for x
    x = 281,427,210.42/21,894.78
  6. Step 6: Final answer
    x = 12,853.62

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1.5x scale

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.