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Finding the Fourth Proportional to 1,947.50, 2,907.13 and 1,802.97

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Solution

The fourth proportional to 1,947.50, 2,907.13 and 1,802.97 is: 2,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.50 : 2,907.13 = 1,802.97 : x
  2. Step 2: Convert to fraction form
    1,947.50/2,907.13 = 1,802.97/x
  3. Step 3: Cross multiply
    1,947.50x = 2,907.13 × 1,802.97
  4. Step 4: Simplify right side
    1,947.50x = 5,241,463.67
  5. Step 5: Solve for x
    x = 5,241,463.67/1,947.50
  6. Step 6: Final answer
    x = 2,691.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.