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Finding the Fourth Proportional to 2,688.75, 3,710.48 and 1,509.80

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Solution

The fourth proportional to 2,688.75, 3,710.48 and 1,509.80 is: 2,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.75 : 3,710.48 = 1,509.80 : x
  2. Step 2: Convert to fraction form
    2,688.75/3,710.48 = 1,509.80/x
  3. Step 3: Cross multiply
    2,688.75x = 3,710.48 × 1,509.80
  4. Step 4: Simplify right side
    2,688.75x = 5,602,056.60
  5. Step 5: Solve for x
    x = 5,602,056.60/2,688.75
  6. Step 6: Final answer
    x = 2,083.52

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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.