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Finding the Fourth Proportional to 2,340.32, 3,509.58 and 780.02

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Solution

The fourth proportional to 2,340.32, 3,509.58 and 780.02 is: 1,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.32 : 3,509.58 = 780.02 : x
  2. Step 2: Convert to fraction form
    2,340.32/3,509.58 = 780.02/x
  3. Step 3: Cross multiply
    2,340.32x = 3,509.58 × 780.02
  4. Step 4: Simplify right side
    2,340.32x = 2,737,542.59
  5. Step 5: Solve for x
    x = 2,737,542.59/2,340.32
  6. Step 6: Final answer
    x = 1,169.73

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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.