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Finding the Fourth Proportional to 10,125.12, 13,972.62 and 5,648.88

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Solution

The fourth proportional to 10,125.12, 13,972.62 and 5,648.88 is: 7,795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.12 : 13,972.62 = 5,648.88 : x
  2. Step 2: Convert to fraction form
    10,125.12/13,972.62 = 5,648.88/x
  3. Step 3: Cross multiply
    10,125.12x = 13,972.62 × 5,648.88
  4. Step 4: Simplify right side
    10,125.12x = 78,929,653.67
  5. Step 5: Solve for x
    x = 78,929,653.67/10,125.12
  6. Step 6: Final answer
    x = 7,795.43

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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.