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Finding the Fourth Proportional to 2,565.63, 3,851.63 and 1,790.56

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Solution

The fourth proportional to 2,565.63, 3,851.63 and 1,790.56 is: 2,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.63 : 3,851.63 = 1,790.56 : x
  2. Step 2: Convert to fraction form
    2,565.63/3,851.63 = 1,790.56/x
  3. Step 3: Cross multiply
    2,565.63x = 3,851.63 × 1,790.56
  4. Step 4: Simplify right side
    2,565.63x = 6,896,562.75
  5. Step 5: Solve for x
    x = 6,896,562.75/2,565.63
  6. Step 6: Final answer
    x = 2,688.06

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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.