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Finding the Fourth Proportional to 3,642.84, 5,465.48 and 1,178.01

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Solution

The fourth proportional to 3,642.84, 5,465.48 and 1,178.01 is: 1,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.84 : 5,465.48 = 1,178.01 : x
  2. Step 2: Convert to fraction form
    3,642.84/5,465.48 = 1,178.01/x
  3. Step 3: Cross multiply
    3,642.84x = 5,465.48 × 1,178.01
  4. Step 4: Simplify right side
    3,642.84x = 6,438,384.20
  5. Step 5: Solve for x
    x = 6,438,384.20/3,642.84
  6. Step 6: Final answer
    x = 1,767.41

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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.