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Finding the Fourth Proportional to 15,842.78, 21,862.71 and 8,768.78

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Solution

The fourth proportional to 15,842.78, 21,862.71 and 8,768.78 is: 12,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.78 : 21,862.71 = 8,768.78 : x
  2. Step 2: Convert to fraction form
    15,842.78/21,862.71 = 8,768.78/x
  3. Step 3: Cross multiply
    15,842.78x = 21,862.71 × 8,768.78
  4. Step 4: Simplify right side
    15,842.78x = 191,709,294.19
  5. Step 5: Solve for x
    x = 191,709,294.19/15,842.78
  6. Step 6: Final answer
    x = 12,100.74

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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.