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Finding the Fourth Proportional to 35,785.31, 49,385.23 and 19,871.24

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Solution

The fourth proportional to 35,785.31, 49,385.23 and 19,871.24 is: 27,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,785.31 : 49,385.23 = 19,871.24 : x
  2. Step 2: Convert to fraction form
    35,785.31/49,385.23 = 19,871.24/x
  3. Step 3: Cross multiply
    35,785.31x = 49,385.23 × 19,871.24
  4. Step 4: Simplify right side
    35,785.31x = 981,345,461.18
  5. Step 5: Solve for x
    x = 981,345,461.18/35,785.31
  6. Step 6: Final answer
    x = 27,423.14

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