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Finding the Fourth Proportional to 2,403.20, 3,604.80 and 2,289.80

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Solution

The fourth proportional to 2,403.20, 3,604.80 and 2,289.80 is: 3,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.20 : 3,604.80 = 2,289.80 : x
  2. Step 2: Convert to fraction form
    2,403.20/3,604.80 = 2,289.80/x
  3. Step 3: Cross multiply
    2,403.20x = 3,604.80 × 2,289.80
  4. Step 4: Simplify right side
    2,403.20x = 8,254,271.04
  5. Step 5: Solve for x
    x = 8,254,271.04/2,403.20
  6. Step 6: Final answer
    x = 3,434.70

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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.