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Finding the Fourth Proportional to 12,897.75, 17,802.70 and 8,422.20

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Solution

The fourth proportional to 12,897.75, 17,802.70 and 8,422.20 is: 11,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.75 : 17,802.70 = 8,422.20 : x
  2. Step 2: Convert to fraction form
    12,897.75/17,802.70 = 8,422.20/x
  3. Step 3: Cross multiply
    12,897.75x = 17,802.70 × 8,422.20
  4. Step 4: Simplify right side
    12,897.75x = 149,937,899.94
  5. Step 5: Solve for x
    x = 149,937,899.94/12,897.75
  6. Step 6: Final answer
    x = 11,625.12

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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.