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Finding the Fourth Proportional to 5,324, 7,348.40 and 3,854.56

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Solution

The fourth proportional to 5,324, 7,348.40 and 3,854.56 is: 5,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324 : 7,348.40 = 3,854.56 : x
  2. Step 2: Convert to fraction form
    5,324/7,348.40 = 3,854.56/x
  3. Step 3: Cross multiply
    5,324x = 7,348.40 × 3,854.56
  4. Step 4: Simplify right side
    5,324x = 28,324,848.70
  5. Step 5: Solve for x
    x = 28,324,848.70/5,324
  6. Step 6: Final answer
    x = 5,320.22

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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.