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Finding the Fourth Proportional to 12,984.57, 17,920.05 and 7,952.13

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Solution

The fourth proportional to 12,984.57, 17,920.05 and 7,952.13 is: 10,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.57 : 17,920.05 = 7,952.13 : x
  2. Step 2: Convert to fraction form
    12,984.57/17,920.05 = 7,952.13/x
  3. Step 3: Cross multiply
    12,984.57x = 17,920.05 × 7,952.13
  4. Step 4: Simplify right side
    12,984.57x = 142,502,567.21
  5. Step 5: Solve for x
    x = 142,502,567.21/12,984.57
  6. Step 6: Final answer
    x = 10,974.76

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1.5x scale

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.