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Finding the Fourth Proportional to 19,707.74, 29,563.43 and 7,858.65

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Solution

The fourth proportional to 19,707.74, 29,563.43 and 7,858.65 is: 11,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.74 : 29,563.43 = 7,858.65 : x
  2. Step 2: Convert to fraction form
    19,707.74/29,563.43 = 7,858.65/x
  3. Step 3: Cross multiply
    19,707.74x = 29,563.43 × 7,858.65
  4. Step 4: Simplify right side
    19,707.74x = 232,328,649.17
  5. Step 5: Solve for x
    x = 232,328,649.17/19,707.74
  6. Step 6: Final answer
    x = 11,788.70

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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.