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Finding the Fourth Proportional to 2,565.79, 3,540.41 and 1,503.48

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Solution

The fourth proportional to 2,565.79, 3,540.41 and 1,503.48 is: 2,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.79 : 3,540.41 = 1,503.48 : x
  2. Step 2: Convert to fraction form
    2,565.79/3,540.41 = 1,503.48/x
  3. Step 3: Cross multiply
    2,565.79x = 3,540.41 × 1,503.48
  4. Step 4: Simplify right side
    2,565.79x = 5,322,927.11
  5. Step 5: Solve for x
    x = 5,322,927.11/2,565.79
  6. Step 6: Final answer
    x = 2,074.57

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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.