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Finding the Fourth Proportional to 2,709.62, 3,740.88 and 1,715.75

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Solution

The fourth proportional to 2,709.62, 3,740.88 and 1,715.75 is: 2,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.62 : 3,740.88 = 1,715.75 : x
  2. Step 2: Convert to fraction form
    2,709.62/3,740.88 = 1,715.75/x
  3. Step 3: Cross multiply
    2,709.62x = 3,740.88 × 1,715.75
  4. Step 4: Simplify right side
    2,709.62x = 6,418,396.16
  5. Step 5: Solve for x
    x = 6,418,396.16/2,709.62
  6. Step 6: Final answer
    x = 2,368.75

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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.