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Finding the Fourth Proportional to 2,688.35, 3,709.80 and 1,509.80

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Solution

The fourth proportional to 2,688.35, 3,709.80 and 1,509.80 is: 2,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.35 : 3,709.80 = 1,509.80 : x
  2. Step 2: Convert to fraction form
    2,688.35/3,709.80 = 1,509.80/x
  3. Step 3: Cross multiply
    2,688.35x = 3,709.80 × 1,509.80
  4. Step 4: Simplify right side
    2,688.35x = 5,601,037.49
  5. Step 5: Solve for x
    x = 5,601,037.49/2,688.35
  6. Step 6: Final answer
    x = 2,083.45

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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.