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Finding the Fourth Proportional to 2,030.78, 3,040 and 1,300.87

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Solution

The fourth proportional to 2,030.78, 3,040 and 1,300.87 is: 1,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.78 : 3,040 = 1,300.87 : x
  2. Step 2: Convert to fraction form
    2,030.78/3,040 = 1,300.87/x
  3. Step 3: Cross multiply
    2,030.78x = 3,040 × 1,300.87
  4. Step 4: Simplify right side
    2,030.78x = 3,954,644.80
  5. Step 5: Solve for x
    x = 3,954,644.80/2,030.78
  6. Step 6: Final answer
    x = 1,947.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.