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Finding the Fourth Proportional to 3,465.81, 5,197.50 and 999.98

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Solution

The fourth proportional to 3,465.81, 5,197.50 and 999.98 is: 1,499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.81 : 5,197.50 = 999.98 : x
  2. Step 2: Convert to fraction form
    3,465.81/5,197.50 = 999.98/x
  3. Step 3: Cross multiply
    3,465.81x = 5,197.50 × 999.98
  4. Step 4: Simplify right side
    3,465.81x = 5,197,370.06
  5. Step 5: Solve for x
    x = 5,197,370.06/3,465.81
  6. Step 6: Final answer
    x = 1,499.61

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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.