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Finding the Fourth Proportional to 1,979.23, 2,731 and 1,139.63

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Solution

The fourth proportional to 1,979.23, 2,731 and 1,139.63 is: 1,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.23 : 2,731 = 1,139.63 : x
  2. Step 2: Convert to fraction form
    1,979.23/2,731 = 1,139.63/x
  3. Step 3: Cross multiply
    1,979.23x = 2,731 × 1,139.63
  4. Step 4: Simplify right side
    1,979.23x = 3,112,329.53
  5. Step 5: Solve for x
    x = 3,112,329.53/1,979.23
  6. Step 6: Final answer
    x = 1,572.50

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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.