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Finding the Fourth Proportional to 22,117.32, 30,525.84 and 13,170

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Solution

The fourth proportional to 22,117.32, 30,525.84 and 13,170 is: 18,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117.32 : 30,525.84 = 13,170 : x
  2. Step 2: Convert to fraction form
    22,117.32/30,525.84 = 13,170/x
  3. Step 3: Cross multiply
    22,117.32x = 30,525.84 × 13,170
  4. Step 4: Simplify right side
    22,117.32x = 402,025,312.80
  5. Step 5: Solve for x
    x = 402,025,312.80/22,117.32
  6. Step 6: Final answer
    x = 18,176.95

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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.