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Finding the Fourth Proportional to 12,897.26, 17,800.22 and 7,234.30

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Solution

The fourth proportional to 12,897.26, 17,800.22 and 7,234.30 is: 9,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.26 : 17,800.22 = 7,234.30 : x
  2. Step 2: Convert to fraction form
    12,897.26/17,800.22 = 7,234.30/x
  3. Step 3: Cross multiply
    12,897.26x = 17,800.22 × 7,234.30
  4. Step 4: Simplify right side
    12,897.26x = 128,772,050.87
  5. Step 5: Solve for x
    x = 128,772,050.87/12,897.26
  6. Step 6: Final answer
    x = 9,984.45

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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.