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Finding the Fourth Proportional to 19,390.12, 29,041.44 and 8,980

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Solution

The fourth proportional to 19,390.12, 29,041.44 and 8,980 is: 13,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,390.12 : 29,041.44 = 8,980 : x
  2. Step 2: Convert to fraction form
    19,390.12/29,041.44 = 8,980/x
  3. Step 3: Cross multiply
    19,390.12x = 29,041.44 × 8,980
  4. Step 4: Simplify right side
    19,390.12x = 260,792,131.20
  5. Step 5: Solve for x
    x = 260,792,131.20/19,390.12
  6. Step 6: Final answer
    x = 13,449.74

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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.