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Finding the Fourth Proportional to 2,532, 3,795.15 and 1,913.70

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Solution

The fourth proportional to 2,532, 3,795.15 and 1,913.70 is: 2,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532 : 3,795.15 = 1,913.70 : x
  2. Step 2: Convert to fraction form
    2,532/3,795.15 = 1,913.70/x
  3. Step 3: Cross multiply
    2,532x = 3,795.15 × 1,913.70
  4. Step 4: Simplify right side
    2,532x = 7,262,778.56
  5. Step 5: Solve for x
    x = 7,262,778.56/2,532
  6. Step 6: Final answer
    x = 2,868.40

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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.