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Finding the Fourth Proportional to 15,182.34, 20,961.38 and 9,807.20

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Solution

The fourth proportional to 15,182.34, 20,961.38 and 9,807.20 is: 13,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182.34 : 20,961.38 = 9,807.20 : x
  2. Step 2: Convert to fraction form
    15,182.34/20,961.38 = 9,807.20/x
  3. Step 3: Cross multiply
    15,182.34x = 20,961.38 × 9,807.20
  4. Step 4: Simplify right side
    15,182.34x = 205,572,292.09
  5. Step 5: Solve for x
    x = 205,572,292.09/15,182.34
  6. Step 6: Final answer
    x = 13,540.22

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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.