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Finding the Fourth Proportional to 12,783.12, 17,641.32 and 7,194

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Solution

The fourth proportional to 12,783.12, 17,641.32 and 7,194 is: 9,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.12 : 17,641.32 = 7,194 : x
  2. Step 2: Convert to fraction form
    12,783.12/17,641.32 = 7,194/x
  3. Step 3: Cross multiply
    12,783.12x = 17,641.32 × 7,194
  4. Step 4: Simplify right side
    12,783.12x = 126,911,656.08
  5. Step 5: Solve for x
    x = 126,911,656.08/12,783.12
  6. Step 6: Final answer
    x = 9,928.07

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Why These Related Problems?

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