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Finding the Fourth Proportional to 12,783.90, 17,641.98 and 7,194.90

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Solution

The fourth proportional to 12,783.90, 17,641.98 and 7,194.90 is: 9,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.90 : 17,641.98 = 7,194.90 : x
  2. Step 2: Convert to fraction form
    12,783.90/17,641.98 = 7,194.90/x
  3. Step 3: Cross multiply
    12,783.90x = 17,641.98 × 7,194.90
  4. Step 4: Simplify right side
    12,783.90x = 126,932,281.90
  5. Step 5: Solve for x
    x = 126,932,281.90/12,783.90
  6. Step 6: Final answer
    x = 9,929.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.