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Finding the Fourth Proportional to 3,077.33, 4,614.91 and 885.47

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Solution

The fourth proportional to 3,077.33, 4,614.91 and 885.47 is: 1,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.33 : 4,614.91 = 885.47 : x
  2. Step 2: Convert to fraction form
    3,077.33/4,614.91 = 885.47/x
  3. Step 3: Cross multiply
    3,077.33x = 4,614.91 × 885.47
  4. Step 4: Simplify right side
    3,077.33x = 4,086,339.07
  5. Step 5: Solve for x
    x = 4,086,339.07/3,077.33
  6. Step 6: Final answer
    x = 1,327.89

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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.