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Finding the Fourth Proportional to 21,051.68, 31,565.91 and 8,568.50

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Solution

The fourth proportional to 21,051.68, 31,565.91 and 8,568.50 is: 12,848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.68 : 31,565.91 = 8,568.50 : x
  2. Step 2: Convert to fraction form
    21,051.68/31,565.91 = 8,568.50/x
  3. Step 3: Cross multiply
    21,051.68x = 31,565.91 × 8,568.50
  4. Step 4: Simplify right side
    21,051.68x = 270,472,499.84
  5. Step 5: Solve for x
    x = 270,472,499.84/21,051.68
  6. Step 6: Final answer
    x = 12,848.02

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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.