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Finding the Fourth Proportional to 4,991.32, 7,487 and 1,528.56

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Solution

The fourth proportional to 4,991.32, 7,487 and 1,528.56 is: 2,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.32 : 7,487 = 1,528.56 : x
  2. Step 2: Convert to fraction form
    4,991.32/7,487 = 1,528.56/x
  3. Step 3: Cross multiply
    4,991.32x = 7,487 × 1,528.56
  4. Step 4: Simplify right side
    4,991.32x = 11,444,328.72
  5. Step 5: Solve for x
    x = 11,444,328.72/4,991.32
  6. Step 6: Final answer
    x = 2,292.85

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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.