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Finding the Fourth Proportional to 7,954.02, 10,972.13 and 7,390.87

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Solution

The fourth proportional to 7,954.02, 10,972.13 and 7,390.87 is: 10,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.02 : 10,972.13 = 7,390.87 : x
  2. Step 2: Convert to fraction form
    7,954.02/10,972.13 = 7,390.87/x
  3. Step 3: Cross multiply
    7,954.02x = 10,972.13 × 7,390.87
  4. Step 4: Simplify right side
    7,954.02x = 81,093,522.07
  5. Step 5: Solve for x
    x = 81,093,522.07/7,954.02
  6. Step 6: Final answer
    x = 10,195.29

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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.