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Finding the Fourth Proportional to 7,531.28, 10,393.14 and 4,219.28

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Solution

The fourth proportional to 7,531.28, 10,393.14 and 4,219.28 is: 5,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.28 : 10,393.14 = 4,219.28 : x
  2. Step 2: Convert to fraction form
    7,531.28/10,393.14 = 4,219.28/x
  3. Step 3: Cross multiply
    7,531.28x = 10,393.14 × 4,219.28
  4. Step 4: Simplify right side
    7,531.28x = 43,851,567.74
  5. Step 5: Solve for x
    x = 43,851,567.74/7,531.28
  6. Step 6: Final answer
    x = 5,822.59

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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.