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Finding the Fourth Proportional to 15,827.32, 21,842.22 and 9,115.12

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Solution

The fourth proportional to 15,827.32, 21,842.22 and 9,115.12 is: 12,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.32 : 21,842.22 = 9,115.12 : x
  2. Step 2: Convert to fraction form
    15,827.32/21,842.22 = 9,115.12/x
  3. Step 3: Cross multiply
    15,827.32x = 21,842.22 × 9,115.12
  4. Step 4: Simplify right side
    15,827.32x = 199,094,456.37
  5. Step 5: Solve for x
    x = 199,094,456.37/15,827.32
  6. Step 6: Final answer
    x = 12,579.16

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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.