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Finding the Fourth Proportional to 2,565, 3,847.68 and 1,026

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Solution

The fourth proportional to 2,565, 3,847.68 and 1,026 is: 1,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565 : 3,847.68 = 1,026 : x
  2. Step 2: Convert to fraction form
    2,565/3,847.68 = 1,026/x
  3. Step 3: Cross multiply
    2,565x = 3,847.68 × 1,026
  4. Step 4: Simplify right side
    2,565x = 3,947,719.68
  5. Step 5: Solve for x
    x = 3,947,719.68/2,565
  6. Step 6: Final answer
    x = 1,539.07

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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.