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Finding the Fourth Proportional to 35,787.16, 49,384.20 and 19,871.20

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Solution

The fourth proportional to 35,787.16, 49,384.20 and 19,871.20 is: 27,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,787.16 : 49,384.20 = 19,871.20 : x
  2. Step 2: Convert to fraction form
    35,787.16/49,384.20 = 19,871.20/x
  3. Step 3: Cross multiply
    35,787.16x = 49,384.20 × 19,871.20
  4. Step 4: Simplify right side
    35,787.16x = 981,323,315.04
  5. Step 5: Solve for x
    x = 981,323,315.04/35,787.16
  6. Step 6: Final answer
    x = 27,421.10

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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.