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Finding the Fourth Proportional to 34,400.90, 51,606.12 and 12,209

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Solution

The fourth proportional to 34,400.90, 51,606.12 and 12,209 is: 18,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400.90 : 51,606.12 = 12,209 : x
  2. Step 2: Convert to fraction form
    34,400.90/51,606.12 = 12,209/x
  3. Step 3: Cross multiply
    34,400.90x = 51,606.12 × 12,209
  4. Step 4: Simplify right side
    34,400.90x = 630,059,119.08
  5. Step 5: Solve for x
    x = 630,059,119.08/34,400.90
  6. Step 6: Final answer
    x = 18,315.20

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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.