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Finding the Fourth Proportional to 3,148.10, 4,722.02 and 808.11

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Solution

The fourth proportional to 3,148.10, 4,722.02 and 808.11 is: 1,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.10 : 4,722.02 = 808.11 : x
  2. Step 2: Convert to fraction form
    3,148.10/4,722.02 = 808.11/x
  3. Step 3: Cross multiply
    3,148.10x = 4,722.02 × 808.11
  4. Step 4: Simplify right side
    3,148.10x = 3,815,907.54
  5. Step 5: Solve for x
    x = 3,815,907.54/3,148.10
  6. Step 6: Final answer
    x = 1,212.13

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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.