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Finding the Fourth Proportional to 7,972.97, 12,012.65 and 7,223.42

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Solution

The fourth proportional to 7,972.97, 12,012.65 and 7,223.42 is: 10,883.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.97 : 12,012.65 = 7,223.42 : x
  2. Step 2: Convert to fraction form
    7,972.97/12,012.65 = 7,223.42/x
  3. Step 3: Cross multiply
    7,972.97x = 12,012.65 × 7,223.42
  4. Step 4: Simplify right side
    7,972.97x = 86,772,356.20
  5. Step 5: Solve for x
    x = 86,772,356.20/7,972.97
  6. Step 6: Final answer
    x = 10,883.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.