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Finding the Fourth Proportional to 2,688.48, 3,712.56 and 2,024.18

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Solution

The fourth proportional to 2,688.48, 3,712.56 and 2,024.18 is: 2,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.48 : 3,712.56 = 2,024.18 : x
  2. Step 2: Convert to fraction form
    2,688.48/3,712.56 = 2,024.18/x
  3. Step 3: Cross multiply
    2,688.48x = 3,712.56 × 2,024.18
  4. Step 4: Simplify right side
    2,688.48x = 7,514,891.39
  5. Step 5: Solve for x
    x = 7,514,891.39/2,688.48
  6. Step 6: Final answer
    x = 2,795.22

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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.