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Finding the Fourth Proportional to 21,096.40, 31,646.40 and 5,514

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Solution

The fourth proportional to 21,096.40, 31,646.40 and 5,514 is: 8,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.40 : 31,646.40 = 5,514 : x
  2. Step 2: Convert to fraction form
    21,096.40/31,646.40 = 5,514/x
  3. Step 3: Cross multiply
    21,096.40x = 31,646.40 × 5,514
  4. Step 4: Simplify right side
    21,096.40x = 174,498,249.60
  5. Step 5: Solve for x
    x = 174,498,249.60/21,096.40
  6. Step 6: Final answer
    x = 8,271.47

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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.