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Finding the Fourth Proportional to 3,562.24, 4,916 and 1,990.40

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Solution

The fourth proportional to 3,562.24, 4,916 and 1,990.40 is: 2,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.24 : 4,916 = 1,990.40 : x
  2. Step 2: Convert to fraction form
    3,562.24/4,916 = 1,990.40/x
  3. Step 3: Cross multiply
    3,562.24x = 4,916 × 1,990.40
  4. Step 4: Simplify right side
    3,562.24x = 9,784,806.40
  5. Step 5: Solve for x
    x = 9,784,806.40/3,562.24
  6. Step 6: Final answer
    x = 2,746.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.