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Finding the Fourth Proportional to 1,877.76, 2,589.73 and 1,406.76

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Solution

The fourth proportional to 1,877.76, 2,589.73 and 1,406.76 is: 1,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.76 : 2,589.73 = 1,406.76 : x
  2. Step 2: Convert to fraction form
    1,877.76/2,589.73 = 1,406.76/x
  3. Step 3: Cross multiply
    1,877.76x = 2,589.73 × 1,406.76
  4. Step 4: Simplify right side
    1,877.76x = 3,643,130.33
  5. Step 5: Solve for x
    x = 3,643,130.33/1,877.76
  6. Step 6: Final answer
    x = 1,940.15

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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.