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Finding the Fourth Proportional to 19,853.79, 29,780.30 and 8,007.31

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Solution

The fourth proportional to 19,853.79, 29,780.30 and 8,007.31 is: 12,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.79 : 29,780.30 = 8,007.31 : x
  2. Step 2: Convert to fraction form
    19,853.79/29,780.30 = 8,007.31/x
  3. Step 3: Cross multiply
    19,853.79x = 29,780.30 × 8,007.31
  4. Step 4: Simplify right side
    19,853.79x = 238,460,093.99
  5. Step 5: Solve for x
    x = 238,460,093.99/19,853.79
  6. Step 6: Final answer
    x = 12,010.81

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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.