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Finding the Fourth Proportional to 2,089.35, 3,134.07 and 993.81

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Solution

The fourth proportional to 2,089.35, 3,134.07 and 993.81 is: 1,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.35 : 3,134.07 = 993.81 : x
  2. Step 2: Convert to fraction form
    2,089.35/3,134.07 = 993.81/x
  3. Step 3: Cross multiply
    2,089.35x = 3,134.07 × 993.81
  4. Step 4: Simplify right side
    2,089.35x = 3,114,670.11
  5. Step 5: Solve for x
    x = 3,114,670.11/2,089.35
  6. Step 6: Final answer
    x = 1,490.74

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1.5x scale

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.