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Finding the Fourth Proportional to 22,469.88, 31,007.04 and 12,398.40

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Solution

The fourth proportional to 22,469.88, 31,007.04 and 12,398.40 is: 17,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.88 : 31,007.04 = 12,398.40 : x
  2. Step 2: Convert to fraction form
    22,469.88/31,007.04 = 12,398.40/x
  3. Step 3: Cross multiply
    22,469.88x = 31,007.04 × 12,398.40
  4. Step 4: Simplify right side
    22,469.88x = 384,437,684.74
  5. Step 5: Solve for x
    x = 384,437,684.74/22,469.88
  6. Step 6: Final answer
    x = 17,109.02

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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.