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Finding the Fourth Proportional to 21,857.87, 32,778.76 and 7,814.10

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Solution

The fourth proportional to 21,857.87, 32,778.76 and 7,814.10 is: 11,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.87 : 32,778.76 = 7,814.10 : x
  2. Step 2: Convert to fraction form
    21,857.87/32,778.76 = 7,814.10/x
  3. Step 3: Cross multiply
    21,857.87x = 32,778.76 × 7,814.10
  4. Step 4: Simplify right side
    21,857.87x = 256,136,508.52
  5. Step 5: Solve for x
    x = 256,136,508.52/21,857.87
  6. Step 6: Final answer
    x = 11,718.28

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1.5x scale

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.