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Finding the Fourth Proportional to 2,340.37, 3,509.70 and 780.09

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Solution

The fourth proportional to 2,340.37, 3,509.70 and 780.09 is: 1,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.37 : 3,509.70 = 780.09 : x
  2. Step 2: Convert to fraction form
    2,340.37/3,509.70 = 780.09/x
  3. Step 3: Cross multiply
    2,340.37x = 3,509.70 × 780.09
  4. Step 4: Simplify right side
    2,340.37x = 2,737,881.87
  5. Step 5: Solve for x
    x = 2,737,881.87/2,340.37
  6. Step 6: Final answer
    x = 1,169.85

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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.