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Finding the Fourth Proportional to 2,291.48, 3,438.47 and 993.05

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Solution

The fourth proportional to 2,291.48, 3,438.47 and 993.05 is: 1,490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.48 : 3,438.47 = 993.05 : x
  2. Step 2: Convert to fraction form
    2,291.48/3,438.47 = 993.05/x
  3. Step 3: Cross multiply
    2,291.48x = 3,438.47 × 993.05
  4. Step 4: Simplify right side
    2,291.48x = 3,414,572.63
  5. Step 5: Solve for x
    x = 3,414,572.63/2,291.48
  6. Step 6: Final answer
    x = 1,490.12

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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.