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Finding the Fourth Proportional to 2,144.93, 2,962.93 and 1,678.75

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Solution

The fourth proportional to 2,144.93, 2,962.93 and 1,678.75 is: 2,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.93 : 2,962.93 = 1,678.75 : x
  2. Step 2: Convert to fraction form
    2,144.93/2,962.93 = 1,678.75/x
  3. Step 3: Cross multiply
    2,144.93x = 2,962.93 × 1,678.75
  4. Step 4: Simplify right side
    2,144.93x = 4,974,018.61
  5. Step 5: Solve for x
    x = 4,974,018.61/2,144.93
  6. Step 6: Final answer
    x = 2,318.96

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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.