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Finding the Fourth Proportional to 15,971.26, 22,041.02 and 8,897.68

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Solution

The fourth proportional to 15,971.26, 22,041.02 and 8,897.68 is: 12,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.26 : 22,041.02 = 8,897.68 : x
  2. Step 2: Convert to fraction form
    15,971.26/22,041.02 = 8,897.68/x
  3. Step 3: Cross multiply
    15,971.26x = 22,041.02 × 8,897.68
  4. Step 4: Simplify right side
    15,971.26x = 196,113,942.83
  5. Step 5: Solve for x
    x = 196,113,942.83/15,971.26
  6. Step 6: Final answer
    x = 12,279.18

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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.