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Finding the Fourth Proportional to 2,130.56, 3,193.68 and 1,034

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Solution

The fourth proportional to 2,130.56, 3,193.68 and 1,034 is: 1,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.56 : 3,193.68 = 1,034 : x
  2. Step 2: Convert to fraction form
    2,130.56/3,193.68 = 1,034/x
  3. Step 3: Cross multiply
    2,130.56x = 3,193.68 × 1,034
  4. Step 4: Simplify right side
    2,130.56x = 3,302,265.12
  5. Step 5: Solve for x
    x = 3,302,265.12/2,130.56
  6. Step 6: Final answer
    x = 1,549.95

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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.