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Finding the Fourth Proportional to 21,876.18, 32,814.76 and 7,837.14

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Solution

The fourth proportional to 21,876.18, 32,814.76 and 7,837.14 is: 11,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.18 : 32,814.76 = 7,837.14 : x
  2. Step 2: Convert to fraction form
    21,876.18/32,814.76 = 7,837.14/x
  3. Step 3: Cross multiply
    21,876.18x = 32,814.76 × 7,837.14
  4. Step 4: Simplify right side
    21,876.18x = 257,173,868.19
  5. Step 5: Solve for x
    x = 257,173,868.19/21,876.18
  6. Step 6: Final answer
    x = 11,755.89

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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.