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Finding the Fourth Proportional to 3,643.55, 5,465.93 and 1,178.99

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Solution

The fourth proportional to 3,643.55, 5,465.93 and 1,178.99 is: 1,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.55 : 5,465.93 = 1,178.99 : x
  2. Step 2: Convert to fraction form
    3,643.55/5,465.93 = 1,178.99/x
  3. Step 3: Cross multiply
    3,643.55x = 5,465.93 × 1,178.99
  4. Step 4: Simplify right side
    3,643.55x = 6,444,270.92
  5. Step 5: Solve for x
    x = 6,444,270.92/3,643.55
  6. Step 6: Final answer
    x = 1,768.68

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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.