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Finding the Fourth Proportional to 2,667.84, 3,681.75 and 1,723.78

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Solution

The fourth proportional to 2,667.84, 3,681.75 and 1,723.78 is: 2,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.84 : 3,681.75 = 1,723.78 : x
  2. Step 2: Convert to fraction form
    2,667.84/3,681.75 = 1,723.78/x
  3. Step 3: Cross multiply
    2,667.84x = 3,681.75 × 1,723.78
  4. Step 4: Simplify right side
    2,667.84x = 6,346,538.08
  5. Step 5: Solve for x
    x = 6,346,538.08/2,667.84
  6. Step 6: Final answer
    x = 2,378.91

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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.