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Finding the Fourth Proportional to 2,542.76, 3,508.94 and 1,547.68

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Solution

The fourth proportional to 2,542.76, 3,508.94 and 1,547.68 is: 2,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.76 : 3,508.94 = 1,547.68 : x
  2. Step 2: Convert to fraction form
    2,542.76/3,508.94 = 1,547.68/x
  3. Step 3: Cross multiply
    2,542.76x = 3,508.94 × 1,547.68
  4. Step 4: Simplify right side
    2,542.76x = 5,430,716.26
  5. Step 5: Solve for x
    x = 5,430,716.26/2,542.76
  6. Step 6: Final answer
    x = 2,135.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.