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Finding the Fourth Proportional to 3,908.84, 5,827.05 and 3,848.90

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Solution

The fourth proportional to 3,908.84, 5,827.05 and 3,848.90 is: 5,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.84 : 5,827.05 = 3,848.90 : x
  2. Step 2: Convert to fraction form
    3,908.84/5,827.05 = 3,848.90/x
  3. Step 3: Cross multiply
    3,908.84x = 5,827.05 × 3,848.90
  4. Step 4: Simplify right side
    3,908.84x = 22,427,703.61
  5. Step 5: Solve for x
    x = 22,427,703.61/3,908.84
  6. Step 6: Final answer
    x = 5,737.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.