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Finding the Fourth Proportional to 35,788.37, 49,386.31 and 19,872.68

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Solution

The fourth proportional to 35,788.37, 49,386.31 and 19,872.68 is: 27,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788.37 : 49,386.31 = 19,872.68 : x
  2. Step 2: Convert to fraction form
    35,788.37/49,386.31 = 19,872.68/x
  3. Step 3: Cross multiply
    35,788.37x = 49,386.31 × 19,872.68
  4. Step 4: Simplify right side
    35,788.37x = 981,438,038.40
  5. Step 5: Solve for x
    x = 981,438,038.40/35,788.37
  6. Step 6: Final answer
    x = 27,423.38

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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.