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Finding the Fourth Proportional to 19,787.80, 29,678.49 and 7,313.70

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Solution

The fourth proportional to 19,787.80, 29,678.49 and 7,313.70 is: 10,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787.80 : 29,678.49 = 7,313.70 : x
  2. Step 2: Convert to fraction form
    19,787.80/29,678.49 = 7,313.70/x
  3. Step 3: Cross multiply
    19,787.80x = 29,678.49 × 7,313.70
  4. Step 4: Simplify right side
    19,787.80x = 217,059,572.31
  5. Step 5: Solve for x
    x = 217,059,572.31/19,787.80
  6. Step 6: Final answer
    x = 10,969.36

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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.