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Finding the Fourth Proportional to 5,912.16, 8,868 and 1,529.76

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Solution

The fourth proportional to 5,912.16, 8,868 and 1,529.76 is: 2,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.16 : 8,868 = 1,529.76 : x
  2. Step 2: Convert to fraction form
    5,912.16/8,868 = 1,529.76/x
  3. Step 3: Cross multiply
    5,912.16x = 8,868 × 1,529.76
  4. Step 4: Simplify right side
    5,912.16x = 13,565,911.68
  5. Step 5: Solve for x
    x = 13,565,911.68/5,912.16
  6. Step 6: Final answer
    x = 2,294.58

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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.