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Finding the Fourth Proportional to 12,224.76, 16,865.13 and 7,440.86

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Solution

The fourth proportional to 12,224.76, 16,865.13 and 7,440.86 is: 10,265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.76 : 16,865.13 = 7,440.86 : x
  2. Step 2: Convert to fraction form
    12,224.76/16,865.13 = 7,440.86/x
  3. Step 3: Cross multiply
    12,224.76x = 16,865.13 × 7,440.86
  4. Step 4: Simplify right side
    12,224.76x = 125,490,986.89
  5. Step 5: Solve for x
    x = 125,490,986.89/12,224.76
  6. Step 6: Final answer
    x = 10,265.31

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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.