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Finding the Fourth Proportional to 15,470, 21,348.48 and 8,396.44

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Solution

The fourth proportional to 15,470, 21,348.48 and 8,396.44 is: 11,587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,470 : 21,348.48 = 8,396.44 : x
  2. Step 2: Convert to fraction form
    15,470/21,348.48 = 8,396.44/x
  3. Step 3: Cross multiply
    15,470x = 21,348.48 × 8,396.44
  4. Step 4: Simplify right side
    15,470x = 179,251,231.41
  5. Step 5: Solve for x
    x = 179,251,231.41/15,470
  6. Step 6: Final answer
    x = 11,587.02

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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.