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Finding the Fourth Proportional to 1,480, 2,043 and 1,293.76

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Solution

The fourth proportional to 1,480, 2,043 and 1,293.76 is: 1,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480 : 2,043 = 1,293.76 : x
  2. Step 2: Convert to fraction form
    1,480/2,043 = 1,293.76/x
  3. Step 3: Cross multiply
    1,480x = 2,043 × 1,293.76
  4. Step 4: Simplify right side
    1,480x = 2,643,151.68
  5. Step 5: Solve for x
    x = 2,643,151.68/1,480
  6. Step 6: Final answer
    x = 1,785.91

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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.