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Finding the Fourth Proportional to 15,211.78, 22,802.16 and 10,281.92

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Solution

The fourth proportional to 15,211.78, 22,802.16 and 10,281.92 is: 15,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.78 : 22,802.16 = 10,281.92 : x
  2. Step 2: Convert to fraction form
    15,211.78/22,802.16 = 10,281.92/x
  3. Step 3: Cross multiply
    15,211.78x = 22,802.16 × 10,281.92
  4. Step 4: Simplify right side
    15,211.78x = 234,449,984.95
  5. Step 5: Solve for x
    x = 234,449,984.95/15,211.78
  6. Step 6: Final answer
    x = 15,412.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.