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Finding the Fourth Proportional to 15,700.25, 21,672.05 and 10,396.78

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Solution

The fourth proportional to 15,700.25, 21,672.05 and 10,396.78 is: 14,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.25 : 21,672.05 = 10,396.78 : x
  2. Step 2: Convert to fraction form
    15,700.25/21,672.05 = 10,396.78/x
  3. Step 3: Cross multiply
    15,700.25x = 21,672.05 × 10,396.78
  4. Step 4: Simplify right side
    15,700.25x = 225,319,429.83
  5. Step 5: Solve for x
    x = 225,319,429.83/15,700.25
  6. Step 6: Final answer
    x = 14,351.33

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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.