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Finding the Fourth Proportional to 10,419.74, 14,379.08 and 5,704

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Solution

The fourth proportional to 10,419.74, 14,379.08 and 5,704 is: 7,871.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.74 : 14,379.08 = 5,704 : x
  2. Step 2: Convert to fraction form
    10,419.74/14,379.08 = 5,704/x
  3. Step 3: Cross multiply
    10,419.74x = 14,379.08 × 5,704
  4. Step 4: Simplify right side
    10,419.74x = 82,018,272.32
  5. Step 5: Solve for x
    x = 82,018,272.32/10,419.74
  6. Step 6: Final answer
    x = 7,871.43

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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.