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Finding the Fourth Proportional to 36,447, 54,641.16 and 15,685.08

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Solution

The fourth proportional to 36,447, 54,641.16 and 15,685.08 is: 23,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,447 : 54,641.16 = 15,685.08 : x
  2. Step 2: Convert to fraction form
    36,447/54,641.16 = 15,685.08/x
  3. Step 3: Cross multiply
    36,447x = 54,641.16 × 15,685.08
  4. Step 4: Simplify right side
    36,447x = 857,050,965.89
  5. Step 5: Solve for x
    x = 857,050,965.89/36,447
  6. Step 6: Final answer
    x = 23,514.99

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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.