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Finding the Fourth Proportional to 15,827.20, 21,842.66 and 8,753.47

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Solution

The fourth proportional to 15,827.20, 21,842.66 and 8,753.47 is: 12,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.20 : 21,842.66 = 8,753.47 : x
  2. Step 2: Convert to fraction form
    15,827.20/21,842.66 = 8,753.47/x
  3. Step 3: Cross multiply
    15,827.20x = 21,842.66 × 8,753.47
  4. Step 4: Simplify right side
    15,827.20x = 191,199,036.31
  5. Step 5: Solve for x
    x = 191,199,036.31/15,827.20
  6. Step 6: Final answer
    x = 12,080.41

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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.