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Finding the Fourth Proportional to 14,276.88, 21,403 and 6,871.14

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Solution

The fourth proportional to 14,276.88, 21,403 and 6,871.14 is: 10,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,276.88 : 21,403 = 6,871.14 : x
  2. Step 2: Convert to fraction form
    14,276.88/21,403 = 6,871.14/x
  3. Step 3: Cross multiply
    14,276.88x = 21,403 × 6,871.14
  4. Step 4: Simplify right side
    14,276.88x = 147,063,009.42
  5. Step 5: Solve for x
    x = 147,063,009.42/14,276.88
  6. Step 6: Final answer
    x = 10,300.78

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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.