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Finding the Fourth Proportional to 12,783.64, 17,639.85 and 7,116.97

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Solution

The fourth proportional to 12,783.64, 17,639.85 and 7,116.97 is: 9,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.64 : 17,639.85 = 7,116.97 : x
  2. Step 2: Convert to fraction form
    12,783.64/17,639.85 = 7,116.97/x
  3. Step 3: Cross multiply
    12,783.64x = 17,639.85 × 7,116.97
  4. Step 4: Simplify right side
    12,783.64x = 125,542,283.25
  5. Step 5: Solve for x
    x = 125,542,283.25/12,783.64
  6. Step 6: Final answer
    x = 9,820.54

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1.5x scale

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.