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Finding the Fourth Proportional to 22,377, 30,881.16 and 13,421.24

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Solution

The fourth proportional to 22,377, 30,881.16 and 13,421.24 is: 18,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377 : 30,881.16 = 13,421.24 : x
  2. Step 2: Convert to fraction form
    22,377/30,881.16 = 13,421.24/x
  3. Step 3: Cross multiply
    22,377x = 30,881.16 × 13,421.24
  4. Step 4: Simplify right side
    22,377x = 414,463,305.43
  5. Step 5: Solve for x
    x = 414,463,305.43/22,377
  6. Step 6: Final answer
    x = 18,521.84

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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.