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Finding the Fourth Proportional to 22,357, 30,852.66 and 12,421

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Solution

The fourth proportional to 22,357, 30,852.66 and 12,421 is: 17,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357 : 30,852.66 = 12,421 : x
  2. Step 2: Convert to fraction form
    22,357/30,852.66 = 12,421/x
  3. Step 3: Cross multiply
    22,357x = 30,852.66 × 12,421
  4. Step 4: Simplify right side
    22,357x = 383,220,889.86
  5. Step 5: Solve for x
    x = 383,220,889.86/22,357
  6. Step 6: Final answer
    x = 17,140.98

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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.