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Finding the Fourth Proportional to 9,871.44, 14,807.16 and 3,209.28

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Solution

The fourth proportional to 9,871.44, 14,807.16 and 3,209.28 is: 4,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.44 : 14,807.16 = 3,209.28 : x
  2. Step 2: Convert to fraction form
    9,871.44/14,807.16 = 3,209.28/x
  3. Step 3: Cross multiply
    9,871.44x = 14,807.16 × 3,209.28
  4. Step 4: Simplify right side
    9,871.44x = 47,520,322.44
  5. Step 5: Solve for x
    x = 47,520,322.44/9,871.44
  6. Step 6: Final answer
    x = 4,813.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.