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Finding the Fourth Proportional to 41,787, 62,686.32 and 12,207

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Solution

The fourth proportional to 41,787, 62,686.32 and 12,207 is: 18,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,787 : 62,686.32 = 12,207 : x
  2. Step 2: Convert to fraction form
    41,787/62,686.32 = 12,207/x
  3. Step 3: Cross multiply
    41,787x = 62,686.32 × 12,207
  4. Step 4: Simplify right side
    41,787x = 765,211,908.24
  5. Step 5: Solve for x
    x = 765,211,908.24/41,787
  6. Step 6: Final answer
    x = 18,312.20

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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.