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Finding the Fourth Proportional to 12,897.44, 17,801.76 and 7,311.68

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Solution

The fourth proportional to 12,897.44, 17,801.76 and 7,311.68 is: 10,091.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.44 : 17,801.76 = 7,311.68 : x
  2. Step 2: Convert to fraction form
    12,897.44/17,801.76 = 7,311.68/x
  3. Step 3: Cross multiply
    12,897.44x = 17,801.76 × 7,311.68
  4. Step 4: Simplify right side
    12,897.44x = 130,160,772.56
  5. Step 5: Solve for x
    x = 130,160,772.56/12,897.44
  6. Step 6: Final answer
    x = 10,091.99

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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.