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Finding the Fourth Proportional to 3,534.99, 5,303.70 and 1,069.89

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Solution

The fourth proportional to 3,534.99, 5,303.70 and 1,069.89 is: 1,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.99 : 5,303.70 = 1,069.89 : x
  2. Step 2: Convert to fraction form
    3,534.99/5,303.70 = 1,069.89/x
  3. Step 3: Cross multiply
    3,534.99x = 5,303.70 × 1,069.89
  4. Step 4: Simplify right side
    3,534.99x = 5,674,375.59
  5. Step 5: Solve for x
    x = 5,674,375.59/3,534.99
  6. Step 6: Final answer
    x = 1,605.20

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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.