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Finding the Fourth Proportional to 3,648.02, 5,472.02 and 1,308.10

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Solution

The fourth proportional to 3,648.02, 5,472.02 and 1,308.10 is: 1,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.02 : 5,472.02 = 1,308.10 : x
  2. Step 2: Convert to fraction form
    3,648.02/5,472.02 = 1,308.10/x
  3. Step 3: Cross multiply
    3,648.02x = 5,472.02 × 1,308.10
  4. Step 4: Simplify right side
    3,648.02x = 7,157,949.36
  5. Step 5: Solve for x
    x = 7,157,949.36/3,648.02
  6. Step 6: Final answer
    x = 1,962.15

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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.