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Finding the Fourth Proportional to 5,678.96, 7,836.57 and 3,554.40

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Solution

The fourth proportional to 5,678.96, 7,836.57 and 3,554.40 is: 4,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.96 : 7,836.57 = 3,554.40 : x
  2. Step 2: Convert to fraction form
    5,678.96/7,836.57 = 3,554.40/x
  3. Step 3: Cross multiply
    5,678.96x = 7,836.57 × 3,554.40
  4. Step 4: Simplify right side
    5,678.96x = 27,854,304.41
  5. Step 5: Solve for x
    x = 27,854,304.41/5,678.96
  6. Step 6: Final answer
    x = 4,904.83

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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.