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Finding the Fourth Proportional to 19,758, 29,641.68 and 5,907.36

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Solution

The fourth proportional to 19,758, 29,641.68 and 5,907.36 is: 8,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758 : 29,641.68 = 5,907.36 : x
  2. Step 2: Convert to fraction form
    19,758/29,641.68 = 5,907.36/x
  3. Step 3: Cross multiply
    19,758x = 29,641.68 × 5,907.36
  4. Step 4: Simplify right side
    19,758x = 175,104,074.76
  5. Step 5: Solve for x
    x = 175,104,074.76/19,758
  6. Step 6: Final answer
    x = 8,862.44

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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.