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Finding the Fourth Proportional to 12,394, 17,105.88 and 7,089.04

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Solution

The fourth proportional to 12,394, 17,105.88 and 7,089.04 is: 9,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394 : 17,105.88 = 7,089.04 : x
  2. Step 2: Convert to fraction form
    12,394/17,105.88 = 7,089.04/x
  3. Step 3: Cross multiply
    12,394x = 17,105.88 × 7,089.04
  4. Step 4: Simplify right side
    12,394x = 121,264,267.56
  5. Step 5: Solve for x
    x = 121,264,267.56/12,394
  6. Step 6: Final answer
    x = 9,784.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.