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Finding the Fourth Proportional to 5,000.97, 6,899.94 and 3,112.86

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Solution

The fourth proportional to 5,000.97, 6,899.94 and 3,112.86 is: 4,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.97 : 6,899.94 = 3,112.86 : x
  2. Step 2: Convert to fraction form
    5,000.97/6,899.94 = 3,112.86/x
  3. Step 3: Cross multiply
    5,000.97x = 6,899.94 × 3,112.86
  4. Step 4: Simplify right side
    5,000.97x = 21,478,547.23
  5. Step 5: Solve for x
    x = 21,478,547.23/5,000.97
  6. Step 6: Final answer
    x = 4,294.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.