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Finding the Fourth Proportional to 19,978.20, 29,920.58 and 15,790.10

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Solution

The fourth proportional to 19,978.20, 29,920.58 and 15,790.10 is: 23,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.20 : 29,920.58 = 15,790.10 : x
  2. Step 2: Convert to fraction form
    19,978.20/29,920.58 = 15,790.10/x
  3. Step 3: Cross multiply
    19,978.20x = 29,920.58 × 15,790.10
  4. Step 4: Simplify right side
    19,978.20x = 472,448,950.26
  5. Step 5: Solve for x
    x = 472,448,950.26/19,978.20
  6. Step 6: Final answer
    x = 23,648.22

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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.