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Finding the Fourth Proportional to 35,790, 49,391.16 and 19,875.12

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Solution

The fourth proportional to 35,790, 49,391.16 and 19,875.12 is: 27,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,790 : 49,391.16 = 19,875.12 : x
  2. Step 2: Convert to fraction form
    35,790/49,391.16 = 19,875.12/x
  3. Step 3: Cross multiply
    35,790x = 49,391.16 × 19,875.12
  4. Step 4: Simplify right side
    35,790x = 981,655,231.94
  5. Step 5: Solve for x
    x = 981,655,231.94/35,790
  6. Step 6: Final answer
    x = 27,428.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.