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Finding the Fourth Proportional to 3,668.68, 5,502.78 and 1,071.40

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Solution

The fourth proportional to 3,668.68, 5,502.78 and 1,071.40 is: 1,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.68 : 5,502.78 = 1,071.40 : x
  2. Step 2: Convert to fraction form
    3,668.68/5,502.78 = 1,071.40/x
  3. Step 3: Cross multiply
    3,668.68x = 5,502.78 × 1,071.40
  4. Step 4: Simplify right side
    3,668.68x = 5,895,678.49
  5. Step 5: Solve for x
    x = 5,895,678.49/3,668.68
  6. Step 6: Final answer
    x = 1,607.03

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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.