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Finding the Fourth Proportional to 3,302.61, 4,951.16 and 1,221.42

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Solution

The fourth proportional to 3,302.61, 4,951.16 and 1,221.42 is: 1,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.61 : 4,951.16 = 1,221.42 : x
  2. Step 2: Convert to fraction form
    3,302.61/4,951.16 = 1,221.42/x
  3. Step 3: Cross multiply
    3,302.61x = 4,951.16 × 1,221.42
  4. Step 4: Simplify right side
    3,302.61x = 6,047,445.85
  5. Step 5: Solve for x
    x = 6,047,445.85/3,302.61
  6. Step 6: Final answer
    x = 1,831.11

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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.