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Finding the Fourth Proportional to 22,653.40, 31,261.90 and 13,220.14

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Solution

The fourth proportional to 22,653.40, 31,261.90 and 13,220.14 is: 18,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.40 : 31,261.90 = 13,220.14 : x
  2. Step 2: Convert to fraction form
    22,653.40/31,261.90 = 13,220.14/x
  3. Step 3: Cross multiply
    22,653.40x = 31,261.90 × 13,220.14
  4. Step 4: Simplify right side
    22,653.40x = 413,286,694.67
  5. Step 5: Solve for x
    x = 413,286,694.67/22,653.40
  6. Step 6: Final answer
    x = 18,243.91

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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.