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Finding the Fourth Proportional to 3,024.62, 4,536.95 and 833.46

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Solution

The fourth proportional to 3,024.62, 4,536.95 and 833.46 is: 1,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.62 : 4,536.95 = 833.46 : x
  2. Step 2: Convert to fraction form
    3,024.62/4,536.95 = 833.46/x
  3. Step 3: Cross multiply
    3,024.62x = 4,536.95 × 833.46
  4. Step 4: Simplify right side
    3,024.62x = 3,781,379.19
  5. Step 5: Solve for x
    x = 3,781,379.19/3,024.62
  6. Step 6: Final answer
    x = 1,250.20

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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.