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Finding the Fourth Proportional to 5,887.84, 8,127.76 and 3,899.36

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Solution

The fourth proportional to 5,887.84, 8,127.76 and 3,899.36 is: 5,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.84 : 8,127.76 = 3,899.36 : x
  2. Step 2: Convert to fraction form
    5,887.84/8,127.76 = 3,899.36/x
  3. Step 3: Cross multiply
    5,887.84x = 8,127.76 × 3,899.36
  4. Step 4: Simplify right side
    5,887.84x = 31,693,062.23
  5. Step 5: Solve for x
    x = 31,693,062.23/5,887.84
  6. Step 6: Final answer
    x = 5,382.80

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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.