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Finding the Fourth Proportional to 3,895.74, 5,375.91 and 2,127.00

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Solution

The fourth proportional to 3,895.74, 5,375.91 and 2,127.00 is: 2,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.74 : 5,375.91 = 2,127.00 : x
  2. Step 2: Convert to fraction form
    3,895.74/5,375.91 = 2,127.00/x
  3. Step 3: Cross multiply
    3,895.74x = 5,375.91 × 2,127.00
  4. Step 4: Simplify right side
    3,895.74x = 11,434,547.13
  5. Step 5: Solve for x
    x = 11,434,547.13/3,895.74
  6. Step 6: Final answer
    x = 2,935.14

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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.