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Finding the Fourth Proportional to 12,922.65, 19,402.20 and 8,001.90

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Solution

The fourth proportional to 12,922.65, 19,402.20 and 8,001.90 is: 12,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.65 : 19,402.20 = 8,001.90 : x
  2. Step 2: Convert to fraction form
    12,922.65/19,402.20 = 8,001.90/x
  3. Step 3: Cross multiply
    12,922.65x = 19,402.20 × 8,001.90
  4. Step 4: Simplify right side
    12,922.65x = 155,254,464.18
  5. Step 5: Solve for x
    x = 155,254,464.18/12,922.65
  6. Step 6: Final answer
    x = 12,014.14

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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.