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Finding the Fourth Proportional to 3,648.40, 5,456.40 and 3,065.20

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Solution

The fourth proportional to 3,648.40, 5,456.40 and 3,065.20 is: 4,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.40 : 5,456.40 = 3,065.20 : x
  2. Step 2: Convert to fraction form
    3,648.40/5,456.40 = 3,065.20/x
  3. Step 3: Cross multiply
    3,648.40x = 5,456.40 × 3,065.20
  4. Step 4: Simplify right side
    3,648.40x = 16,724,957.28
  5. Step 5: Solve for x
    x = 16,724,957.28/3,648.40
  6. Step 6: Final answer
    x = 4,584.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.