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Finding the Fourth Proportional to 2,093.40, 3,139.65 and 923.40

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Solution

The fourth proportional to 2,093.40, 3,139.65 and 923.40 is: 1,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.40 : 3,139.65 = 923.40 : x
  2. Step 2: Convert to fraction form
    2,093.40/3,139.65 = 923.40/x
  3. Step 3: Cross multiply
    2,093.40x = 3,139.65 × 923.40
  4. Step 4: Simplify right side
    2,093.40x = 2,899,152.81
  5. Step 5: Solve for x
    x = 2,899,152.81/2,093.40
  6. Step 6: Final answer
    x = 1,384.90

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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.