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Finding the Fourth Proportional to 2,688.16, 3,709.50 and 1,509.16

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Solution

The fourth proportional to 2,688.16, 3,709.50 and 1,509.16 is: 2,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.16 : 3,709.50 = 1,509.16 : x
  2. Step 2: Convert to fraction form
    2,688.16/3,709.50 = 1,509.16/x
  3. Step 3: Cross multiply
    2,688.16x = 3,709.50 × 1,509.16
  4. Step 4: Simplify right side
    2,688.16x = 5,598,229.02
  5. Step 5: Solve for x
    x = 5,598,229.02/2,688.16
  6. Step 6: Final answer
    x = 2,082.55

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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.