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Finding the Fourth Proportional to 2,373.80, 3,560.46 and 730.21

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Solution

The fourth proportional to 2,373.80, 3,560.46 and 730.21 is: 1,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.80 : 3,560.46 = 730.21 : x
  2. Step 2: Convert to fraction form
    2,373.80/3,560.46 = 730.21/x
  3. Step 3: Cross multiply
    2,373.80x = 3,560.46 × 730.21
  4. Step 4: Simplify right side
    2,373.80x = 2,599,865.69
  5. Step 5: Solve for x
    x = 2,599,865.69/2,373.80
  6. Step 6: Final answer
    x = 1,095.23

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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.