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Finding the Fourth Proportional to 22,333.89, 30,821.25 and 12,774.65

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Solution

The fourth proportional to 22,333.89, 30,821.25 and 12,774.65 is: 17,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333.89 : 30,821.25 = 12,774.65 : x
  2. Step 2: Convert to fraction form
    22,333.89/30,821.25 = 12,774.65/x
  3. Step 3: Cross multiply
    22,333.89x = 30,821.25 × 12,774.65
  4. Step 4: Simplify right side
    22,333.89x = 393,730,681.31
  5. Step 5: Solve for x
    x = 393,730,681.31/22,333.89
  6. Step 6: Final answer
    x = 17,629.29

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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.