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Finding the Fourth Proportional to 15,969.40, 22,038 and 9,255.54

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Solution

The fourth proportional to 15,969.40, 22,038 and 9,255.54 is: 12,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.40 : 22,038 = 9,255.54 : x
  2. Step 2: Convert to fraction form
    15,969.40/22,038 = 9,255.54/x
  3. Step 3: Cross multiply
    15,969.40x = 22,038 × 9,255.54
  4. Step 4: Simplify right side
    15,969.40x = 203,973,590.52
  5. Step 5: Solve for x
    x = 203,973,590.52/15,969.40
  6. Step 6: Final answer
    x = 12,772.78

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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.