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Finding the Fourth Proportional to 21,035.78, 31,544.43 and 7,878.92

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Solution

The fourth proportional to 21,035.78, 31,544.43 and 7,878.92 is: 11,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.78 : 31,544.43 = 7,878.92 : x
  2. Step 2: Convert to fraction form
    21,035.78/31,544.43 = 7,878.92/x
  3. Step 3: Cross multiply
    21,035.78x = 31,544.43 × 7,878.92
  4. Step 4: Simplify right side
    21,035.78x = 248,535,882.69
  5. Step 5: Solve for x
    x = 248,535,882.69/21,035.78
  6. Step 6: Final answer
    x = 11,814.91

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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.