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Finding the Fourth Proportional to 1,695, 2,340.06 and 1,280.28

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Solution

The fourth proportional to 1,695, 2,340.06 and 1,280.28 is: 1,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695 : 2,340.06 = 1,280.28 : x
  2. Step 2: Convert to fraction form
    1,695/2,340.06 = 1,280.28/x
  3. Step 3: Cross multiply
    1,695x = 2,340.06 × 1,280.28
  4. Step 4: Simplify right side
    1,695x = 2,995,932.02
  5. Step 5: Solve for x
    x = 2,995,932.02/1,695
  6. Step 6: Final answer
    x = 1,767.51

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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.