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Finding the Fourth Proportional to 12,930.78, 19,396.17 and 6,001.50

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Solution

The fourth proportional to 12,930.78, 19,396.17 and 6,001.50 is: 9,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.78 : 19,396.17 = 6,001.50 : x
  2. Step 2: Convert to fraction form
    12,930.78/19,396.17 = 6,001.50/x
  3. Step 3: Cross multiply
    12,930.78x = 19,396.17 × 6,001.50
  4. Step 4: Simplify right side
    12,930.78x = 116,406,114.26
  5. Step 5: Solve for x
    x = 116,406,114.26/12,930.78
  6. Step 6: Final answer
    x = 9,002.25

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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.