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Finding the Fourth Proportional to 7,215.80, 9,954.14 and 4,382.42

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Solution

The fourth proportional to 7,215.80, 9,954.14 and 4,382.42 is: 6,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.80 : 9,954.14 = 4,382.42 : x
  2. Step 2: Convert to fraction form
    7,215.80/9,954.14 = 4,382.42/x
  3. Step 3: Cross multiply
    7,215.80x = 9,954.14 × 4,382.42
  4. Step 4: Simplify right side
    7,215.80x = 43,623,241.63
  5. Step 5: Solve for x
    x = 43,623,241.63/7,215.80
  6. Step 6: Final answer
    x = 6,045.51

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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.