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Finding the Fourth Proportional to 2,941.18, 4,411.61 and 749.77

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Solution

The fourth proportional to 2,941.18, 4,411.61 and 749.77 is: 1,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.18 : 4,411.61 = 749.77 : x
  2. Step 2: Convert to fraction form
    2,941.18/4,411.61 = 749.77/x
  3. Step 3: Cross multiply
    2,941.18x = 4,411.61 × 749.77
  4. Step 4: Simplify right side
    2,941.18x = 3,307,709.90
  5. Step 5: Solve for x
    x = 3,307,709.90/2,941.18
  6. Step 6: Final answer
    x = 1,124.62

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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.