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Finding the Fourth Proportional to 7,758.65, 11,638.08 and 1,915.25

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Solution

The fourth proportional to 7,758.65, 11,638.08 and 1,915.25 is: 2,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.65 : 11,638.08 = 1,915.25 : x
  2. Step 2: Convert to fraction form
    7,758.65/11,638.08 = 1,915.25/x
  3. Step 3: Cross multiply
    7,758.65x = 11,638.08 × 1,915.25
  4. Step 4: Simplify right side
    7,758.65x = 22,289,823.14
  5. Step 5: Solve for x
    x = 22,289,823.14/7,758.65
  6. Step 6: Final answer
    x = 2,872.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.