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Finding the Fourth Proportional to 21,587.87, 32,403.87 and 17,827.67

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Solution

The fourth proportional to 21,587.87, 32,403.87 and 17,827.67 is: 26,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,587.87 : 32,403.87 = 17,827.67 : x
  2. Step 2: Convert to fraction form
    21,587.87/32,403.87 = 17,827.67/x
  3. Step 3: Cross multiply
    21,587.87x = 32,403.87 × 17,827.67
  4. Step 4: Simplify right side
    21,587.87x = 577,685,339.06
  5. Step 5: Solve for x
    x = 577,685,339.06/21,587.87
  6. Step 6: Final answer
    x = 26,759.73

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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.