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Finding the Fourth Proportional to 3,605.93, 5,409.86 and 1,140.80

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Solution

The fourth proportional to 3,605.93, 5,409.86 and 1,140.80 is: 1,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.93 : 5,409.86 = 1,140.80 : x
  2. Step 2: Convert to fraction form
    3,605.93/5,409.86 = 1,140.80/x
  3. Step 3: Cross multiply
    3,605.93x = 5,409.86 × 1,140.80
  4. Step 4: Simplify right side
    3,605.93x = 6,171,535.53
  5. Step 5: Solve for x
    x = 6,171,535.53/3,605.93
  6. Step 6: Final answer
    x = 1,711.50

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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.