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Finding the Fourth Proportional to 5,688.84, 7,851 and 3,171.12

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Solution

The fourth proportional to 5,688.84, 7,851 and 3,171.12 is: 4,376.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.84 : 7,851 = 3,171.12 : x
  2. Step 2: Convert to fraction form
    5,688.84/7,851 = 3,171.12/x
  3. Step 3: Cross multiply
    5,688.84x = 7,851 × 3,171.12
  4. Step 4: Simplify right side
    5,688.84x = 24,896,463.12
  5. Step 5: Solve for x
    x = 24,896,463.12/5,688.84
  6. Step 6: Final answer
    x = 4,376.37

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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.