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Finding the Fourth Proportional to 15,955.71, 22,009.20 and 9,982.47

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Solution

The fourth proportional to 15,955.71, 22,009.20 and 9,982.47 is: 13,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,955.71 : 22,009.20 = 9,982.47 : x
  2. Step 2: Convert to fraction form
    15,955.71/22,009.20 = 9,982.47/x
  3. Step 3: Cross multiply
    15,955.71x = 22,009.20 × 9,982.47
  4. Step 4: Simplify right side
    15,955.71x = 219,706,178.72
  5. Step 5: Solve for x
    x = 219,706,178.72/15,955.71
  6. Step 6: Final answer
    x = 13,769.75

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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.