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Finding the Fourth Proportional to 2,688, 3,709.68 and 1,509.12

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Solution

The fourth proportional to 2,688, 3,709.68 and 1,509.12 is: 2,082.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688 : 3,709.68 = 1,509.12 : x
  2. Step 2: Convert to fraction form
    2,688/3,709.68 = 1,509.12/x
  3. Step 3: Cross multiply
    2,688x = 3,709.68 × 1,509.12
  4. Step 4: Simplify right side
    2,688x = 5,598,352.28
  5. Step 5: Solve for x
    x = 5,598,352.28/2,688
  6. Step 6: Final answer
    x = 2,082.72

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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.