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Finding the Fourth Proportional to 2,069.61, 3,104.39 and 753.36

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Solution

The fourth proportional to 2,069.61, 3,104.39 and 753.36 is: 1,130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.61 : 3,104.39 = 753.36 : x
  2. Step 2: Convert to fraction form
    2,069.61/3,104.39 = 753.36/x
  3. Step 3: Cross multiply
    2,069.61x = 3,104.39 × 753.36
  4. Step 4: Simplify right side
    2,069.61x = 2,338,719.48
  5. Step 5: Solve for x
    x = 2,338,719.48/2,069.61
  6. Step 6: Final answer
    x = 1,130.03

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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.