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Finding the Fourth Proportional to 2,688.64, 3,707.12 and 2,314.98

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Solution

The fourth proportional to 2,688.64, 3,707.12 and 2,314.98 is: 3,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.64 : 3,707.12 = 2,314.98 : x
  2. Step 2: Convert to fraction form
    2,688.64/3,707.12 = 2,314.98/x
  3. Step 3: Cross multiply
    2,688.64x = 3,707.12 × 2,314.98
  4. Step 4: Simplify right side
    2,688.64x = 8,581,901.42
  5. Step 5: Solve for x
    x = 8,581,901.42/2,688.64
  6. Step 6: Final answer
    x = 3,191.91

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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.