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Finding the Fourth Proportional to 19,571, 29,350.34 and 6,420.32

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Solution

The fourth proportional to 19,571, 29,350.34 and 6,420.32 is: 9,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,571 : 29,350.34 = 6,420.32 : x
  2. Step 2: Convert to fraction form
    19,571/29,350.34 = 6,420.32/x
  3. Step 3: Cross multiply
    19,571x = 29,350.34 × 6,420.32
  4. Step 4: Simplify right side
    19,571x = 188,438,574.91
  5. Step 5: Solve for x
    x = 188,438,574.91/19,571
  6. Step 6: Final answer
    x = 9,628.46

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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.