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Finding the Fourth Proportional to 2,178.66, 3,007.02 and 1,340.07

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Solution

The fourth proportional to 2,178.66, 3,007.02 and 1,340.07 is: 1,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.66 : 3,007.02 = 1,340.07 : x
  2. Step 2: Convert to fraction form
    2,178.66/3,007.02 = 1,340.07/x
  3. Step 3: Cross multiply
    2,178.66x = 3,007.02 × 1,340.07
  4. Step 4: Simplify right side
    2,178.66x = 4,029,610.59
  5. Step 5: Solve for x
    x = 4,029,610.59/2,178.66
  6. Step 6: Final answer
    x = 1,849.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.