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Finding the Fourth Proportional to 3,466.50, 5,199.80 and 1,158

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Solution

The fourth proportional to 3,466.50, 5,199.80 and 1,158 is: 1,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.50 : 5,199.80 = 1,158 : x
  2. Step 2: Convert to fraction form
    3,466.50/5,199.80 = 1,158/x
  3. Step 3: Cross multiply
    3,466.50x = 5,199.80 × 1,158
  4. Step 4: Simplify right side
    3,466.50x = 6,021,362.61
  5. Step 5: Solve for x
    x = 6,021,362.61/3,466.50
  6. Step 6: Final answer
    x = 1,737.02

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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.