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Finding the Fourth Proportional to 2,340.12, 3,509.88 and 780.36

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Solution

The fourth proportional to 2,340.12, 3,509.88 and 780.36 is: 1,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.12 : 3,509.88 = 780.36 : x
  2. Step 2: Convert to fraction form
    2,340.12/3,509.88 = 780.36/x
  3. Step 3: Cross multiply
    2,340.12x = 3,509.88 × 780.36
  4. Step 4: Simplify right side
    2,340.12x = 2,738,969.96
  5. Step 5: Solve for x
    x = 2,738,969.96/2,340.12
  6. Step 6: Final answer
    x = 1,170.44

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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.