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Finding the Fourth Proportional to 22,210.76, 30,649.95 and 13,142.00

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Solution

The fourth proportional to 22,210.76, 30,649.95 and 13,142.00 is: 18,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,210.76 : 30,649.95 = 13,142.00 : x
  2. Step 2: Convert to fraction form
    22,210.76/30,649.95 = 13,142.00/x
  3. Step 3: Cross multiply
    22,210.76x = 30,649.95 × 13,142.00
  4. Step 4: Simplify right side
    22,210.76x = 402,801,489.65
  5. Step 5: Solve for x
    x = 402,801,489.65/22,210.76
  6. Step 6: Final answer
    x = 18,135.43

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Double scale
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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.