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Finding the Fourth Proportional to 34,650, 51,986.16 and 12,463.20

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Solution

The fourth proportional to 34,650, 51,986.16 and 12,463.20 is: 18,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,650 : 51,986.16 = 12,463.20 : x
  2. Step 2: Convert to fraction form
    34,650/51,986.16 = 12,463.20/x
  3. Step 3: Cross multiply
    34,650x = 51,986.16 × 12,463.20
  4. Step 4: Simplify right side
    34,650x = 647,913,909.31
  5. Step 5: Solve for x
    x = 647,913,909.31/34,650
  6. Step 6: Final answer
    x = 18,698.81

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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.