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Finding the Fourth Proportional to 4,871.99, 6,715.44 and 3,807.87

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Solution

The fourth proportional to 4,871.99, 6,715.44 and 3,807.87 is: 5,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.99 : 6,715.44 = 3,807.87 : x
  2. Step 2: Convert to fraction form
    4,871.99/6,715.44 = 3,807.87/x
  3. Step 3: Cross multiply
    4,871.99x = 6,715.44 × 3,807.87
  4. Step 4: Simplify right side
    4,871.99x = 25,571,522.51
  5. Step 5: Solve for x
    x = 25,571,522.51/4,871.99
  6. Step 6: Final answer
    x = 5,248.69

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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.