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Finding the Fourth Proportional to 22,653.60, 31,264.75 and 13,225.20

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Solution

The fourth proportional to 22,653.60, 31,264.75 and 13,225.20 is: 18,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.60 : 31,264.75 = 13,225.20 : x
  2. Step 2: Convert to fraction form
    22,653.60/31,264.75 = 13,225.20/x
  3. Step 3: Cross multiply
    22,653.60x = 31,264.75 × 13,225.20
  4. Step 4: Simplify right side
    22,653.60x = 413,482,571.70
  5. Step 5: Solve for x
    x = 413,482,571.70/22,653.60
  6. Step 6: Final answer
    x = 18,252.40

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Similar ratio
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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.