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Finding the Fourth Proportional to 21,695.34, 32,537.34 and 8,547.84

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Solution

The fourth proportional to 21,695.34, 32,537.34 and 8,547.84 is: 12,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,695.34 : 32,537.34 = 8,547.84 : x
  2. Step 2: Convert to fraction form
    21,695.34/32,537.34 = 8,547.84/x
  3. Step 3: Cross multiply
    21,695.34x = 32,537.34 × 8,547.84
  4. Step 4: Simplify right side
    21,695.34x = 278,123,976.35
  5. Step 5: Solve for x
    x = 278,123,976.35/21,695.34
  6. Step 6: Final answer
    x = 12,819.53

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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.