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Finding the Fourth Proportional to 3,534.88, 5,303.28 and 1,069.78

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Solution

The fourth proportional to 3,534.88, 5,303.28 and 1,069.78 is: 1,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.88 : 5,303.28 = 1,069.78 : x
  2. Step 2: Convert to fraction form
    3,534.88/5,303.28 = 1,069.78/x
  3. Step 3: Cross multiply
    3,534.88x = 5,303.28 × 1,069.78
  4. Step 4: Simplify right side
    3,534.88x = 5,673,342.88
  5. Step 5: Solve for x
    x = 5,673,342.88/3,534.88
  6. Step 6: Final answer
    x = 1,604.96

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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.