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Finding the Fourth Proportional to 2,701, 3,727.40 and 1,653.76

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Solution

The fourth proportional to 2,701, 3,727.40 and 1,653.76 is: 2,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701 : 3,727.40 = 1,653.76 : x
  2. Step 2: Convert to fraction form
    2,701/3,727.40 = 1,653.76/x
  3. Step 3: Cross multiply
    2,701x = 3,727.40 × 1,653.76
  4. Step 4: Simplify right side
    2,701x = 6,164,225.02
  5. Step 5: Solve for x
    x = 6,164,225.02/2,701
  6. Step 6: Final answer
    x = 2,282.20

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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.