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Finding the Fourth Proportional to 21,814.10, 32,701.70 and 8,657.54

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Solution

The fourth proportional to 21,814.10, 32,701.70 and 8,657.54 is: 12,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.10 : 32,701.70 = 8,657.54 : x
  2. Step 2: Convert to fraction form
    21,814.10/32,701.70 = 8,657.54/x
  3. Step 3: Cross multiply
    21,814.10x = 32,701.70 × 8,657.54
  4. Step 4: Simplify right side
    21,814.10x = 283,116,275.82
  5. Step 5: Solve for x
    x = 283,116,275.82/21,814.10
  6. Step 6: Final answer
    x = 12,978.59

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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.