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Finding the Fourth Proportional to 19,728.90, 29,578.77 and 9,328.50

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Solution

The fourth proportional to 19,728.90, 29,578.77 and 9,328.50 is: 13,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.90 : 29,578.77 = 9,328.50 : x
  2. Step 2: Convert to fraction form
    19,728.90/29,578.77 = 9,328.50/x
  3. Step 3: Cross multiply
    19,728.90x = 29,578.77 × 9,328.50
  4. Step 4: Simplify right side
    19,728.90x = 275,925,555.95
  5. Step 5: Solve for x
    x = 275,925,555.95/19,728.90
  6. Step 6: Final answer
    x = 13,985.86

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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.