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Finding the Fourth Proportional to 3,877.84, 5,316.53 and 3,807.64

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Solution

The fourth proportional to 3,877.84, 5,316.53 and 3,807.64 is: 5,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.84 : 5,316.53 = 3,807.64 : x
  2. Step 2: Convert to fraction form
    3,877.84/5,316.53 = 3,807.64/x
  3. Step 3: Cross multiply
    3,877.84x = 5,316.53 × 3,807.64
  4. Step 4: Simplify right side
    3,877.84x = 20,243,432.29
  5. Step 5: Solve for x
    x = 20,243,432.29/3,877.84
  6. Step 6: Final answer
    x = 5,220.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.