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Finding the Fourth Proportional to 2,886.70, 4,331.07 and 938.91

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Solution

The fourth proportional to 2,886.70, 4,331.07 and 938.91 is: 1,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.70 : 4,331.07 = 938.91 : x
  2. Step 2: Convert to fraction form
    2,886.70/4,331.07 = 938.91/x
  3. Step 3: Cross multiply
    2,886.70x = 4,331.07 × 938.91
  4. Step 4: Simplify right side
    2,886.70x = 4,066,484.93
  5. Step 5: Solve for x
    x = 4,066,484.93/2,886.70
  6. Step 6: Final answer
    x = 1,408.70

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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.