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Finding the Fourth Proportional to 15,842.15, 21,867.04 and 9,132.27

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Solution

The fourth proportional to 15,842.15, 21,867.04 and 9,132.27 is: 12,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.15 : 21,867.04 = 9,132.27 : x
  2. Step 2: Convert to fraction form
    15,842.15/21,867.04 = 9,132.27/x
  3. Step 3: Cross multiply
    15,842.15x = 21,867.04 × 9,132.27
  4. Step 4: Simplify right side
    15,842.15x = 199,695,581.21
  5. Step 5: Solve for x
    x = 199,695,581.21/15,842.15
  6. Step 6: Final answer
    x = 12,605.33

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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.