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Finding the Fourth Proportional to 12,292.74, 16,963.02 and 7,978.14

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Solution

The fourth proportional to 12,292.74, 16,963.02 and 7,978.14 is: 11,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.74 : 16,963.02 = 7,978.14 : x
  2. Step 2: Convert to fraction form
    12,292.74/16,963.02 = 7,978.14/x
  3. Step 3: Cross multiply
    12,292.74x = 16,963.02 × 7,978.14
  4. Step 4: Simplify right side
    12,292.74x = 135,333,348.38
  5. Step 5: Solve for x
    x = 135,333,348.38/12,292.74
  6. Step 6: Final answer
    x = 11,009.21

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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.