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Finding the Fourth Proportional to 22,038.66, 30,416.13 and 13,656.42

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Solution

The fourth proportional to 22,038.66, 30,416.13 and 13,656.42 is: 18,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.66 : 30,416.13 = 13,656.42 : x
  2. Step 2: Convert to fraction form
    22,038.66/30,416.13 = 13,656.42/x
  3. Step 3: Cross multiply
    22,038.66x = 30,416.13 × 13,656.42
  4. Step 4: Simplify right side
    22,038.66x = 415,375,446.05
  5. Step 5: Solve for x
    x = 415,375,446.05/22,038.66
  6. Step 6: Final answer
    x = 18,847.58

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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.