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Finding the Fourth Proportional to 15,920.34, 21,972.87 and 9,204.90

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Solution

The fourth proportional to 15,920.34, 21,972.87 and 9,204.90 is: 12,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.34 : 21,972.87 = 9,204.90 : x
  2. Step 2: Convert to fraction form
    15,920.34/21,972.87 = 9,204.90/x
  3. Step 3: Cross multiply
    15,920.34x = 21,972.87 × 9,204.90
  4. Step 4: Simplify right side
    15,920.34x = 202,258,071.06
  5. Step 5: Solve for x
    x = 202,258,071.06/15,920.34
  6. Step 6: Final answer
    x = 12,704.38

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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.