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Finding the Fourth Proportional to 5,099.58, 7,646.99 and 1,981.04

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Solution

The fourth proportional to 5,099.58, 7,646.99 and 1,981.04 is: 2,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.58 : 7,646.99 = 1,981.04 : x
  2. Step 2: Convert to fraction form
    5,099.58/7,646.99 = 1,981.04/x
  3. Step 3: Cross multiply
    5,099.58x = 7,646.99 × 1,981.04
  4. Step 4: Simplify right side
    5,099.58x = 15,148,944.93
  5. Step 5: Solve for x
    x = 15,148,944.93/5,099.58
  6. Step 6: Final answer
    x = 2,970.63

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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.