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Finding the Fourth Proportional to 9,714.81, 14,572.22 and 3,871.47

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Solution

The fourth proportional to 9,714.81, 14,572.22 and 3,871.47 is: 5,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.81 : 14,572.22 = 3,871.47 : x
  2. Step 2: Convert to fraction form
    9,714.81/14,572.22 = 3,871.47/x
  3. Step 3: Cross multiply
    9,714.81x = 14,572.22 × 3,871.47
  4. Step 4: Simplify right side
    9,714.81x = 56,415,893.21
  5. Step 5: Solve for x
    x = 56,415,893.21/9,714.81
  6. Step 6: Final answer
    x = 5,807.21

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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.