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Finding the Fourth Proportional to 19,570, 29,348.84 and 6,419.31

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Solution

The fourth proportional to 19,570, 29,348.84 and 6,419.31 is: 9,626.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,570 : 29,348.84 = 6,419.31 : x
  2. Step 2: Convert to fraction form
    19,570/29,348.84 = 6,419.31/x
  3. Step 3: Cross multiply
    19,570x = 29,348.84 × 6,419.31
  4. Step 4: Simplify right side
    19,570x = 188,399,302.10
  5. Step 5: Solve for x
    x = 188,399,302.10/19,570
  6. Step 6: Final answer
    x = 9,626.94

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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.