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Finding the Fourth Proportional to 15,478.12, 21,360 and 8,404.66

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Solution

The fourth proportional to 15,478.12, 21,360 and 8,404.66 is: 11,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,478.12 : 21,360 = 8,404.66 : x
  2. Step 2: Convert to fraction form
    15,478.12/21,360 = 8,404.66/x
  3. Step 3: Cross multiply
    15,478.12x = 21,360 × 8,404.66
  4. Step 4: Simplify right side
    15,478.12x = 179,523,537.60
  5. Step 5: Solve for x
    x = 179,523,537.60/15,478.12
  6. Step 6: Final answer
    x = 11,598.54

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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.