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Finding the Fourth Proportional to 5,915, 8,875.74 and 2,837

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Solution

The fourth proportional to 5,915, 8,875.74 and 2,837 is: 4,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915 : 8,875.74 = 2,837 : x
  2. Step 2: Convert to fraction form
    5,915/8,875.74 = 2,837/x
  3. Step 3: Cross multiply
    5,915x = 8,875.74 × 2,837
  4. Step 4: Simplify right side
    5,915x = 25,180,474.38
  5. Step 5: Solve for x
    x = 25,180,474.38/5,915
  6. Step 6: Final answer
    x = 4,257.05

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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.