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Finding the Fourth Proportional to 22,354, 30,848.58 and 12,418

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Solution

The fourth proportional to 22,354, 30,848.58 and 12,418 is: 17,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354 : 30,848.58 = 12,418 : x
  2. Step 2: Convert to fraction form
    22,354/30,848.58 = 12,418/x
  3. Step 3: Cross multiply
    22,354x = 30,848.58 × 12,418
  4. Step 4: Simplify right side
    22,354x = 383,077,666.44
  5. Step 5: Solve for x
    x = 383,077,666.44/22,354
  6. Step 6: Final answer
    x = 17,136.87

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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.