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Finding the Fourth Proportional to 2,347, 3,515.30 and 1,522.76

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Solution

The fourth proportional to 2,347, 3,515.30 and 1,522.76 is: 2,280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347 : 3,515.30 = 1,522.76 : x
  2. Step 2: Convert to fraction form
    2,347/3,515.30 = 1,522.76/x
  3. Step 3: Cross multiply
    2,347x = 3,515.30 × 1,522.76
  4. Step 4: Simplify right side
    2,347x = 5,352,958.23
  5. Step 5: Solve for x
    x = 5,352,958.23/2,347
  6. Step 6: Final answer
    x = 2,280.77

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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.