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Finding the Fourth Proportional to 3,243.90, 4,864.39 and 934.86

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Solution

The fourth proportional to 3,243.90, 4,864.39 and 934.86 is: 1,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.90 : 4,864.39 = 934.86 : x
  2. Step 2: Convert to fraction form
    3,243.90/4,864.39 = 934.86/x
  3. Step 3: Cross multiply
    3,243.90x = 4,864.39 × 934.86
  4. Step 4: Simplify right side
    3,243.90x = 4,547,523.64
  5. Step 5: Solve for x
    x = 4,547,523.64/3,243.90
  6. Step 6: Final answer
    x = 1,401.87

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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.