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Finding the Fourth Proportional to 7,409.54, 11,114.12 and 2,411.90

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Solution

The fourth proportional to 7,409.54, 11,114.12 and 2,411.90 is: 3,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.54 : 11,114.12 = 2,411.90 : x
  2. Step 2: Convert to fraction form
    7,409.54/11,114.12 = 2,411.90/x
  3. Step 3: Cross multiply
    7,409.54x = 11,114.12 × 2,411.90
  4. Step 4: Simplify right side
    7,409.54x = 26,806,179.84
  5. Step 5: Solve for x
    x = 26,806,179.84/7,409.54
  6. Step 6: Final answer
    x = 3,617.80

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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.