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Finding the Fourth Proportional to 3,127.70, 4,316 and 1,801.74

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Solution

The fourth proportional to 3,127.70, 4,316 and 1,801.74 is: 2,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.70 : 4,316 = 1,801.74 : x
  2. Step 2: Convert to fraction form
    3,127.70/4,316 = 1,801.74/x
  3. Step 3: Cross multiply
    3,127.70x = 4,316 × 1,801.74
  4. Step 4: Simplify right side
    3,127.70x = 7,776,309.84
  5. Step 5: Solve for x
    x = 7,776,309.84/3,127.70
  6. Step 6: Final answer
    x = 2,486.27

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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.