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Finding the Fourth Proportional to 9,821.44, 13,539.72 and 7,022.08

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Solution

The fourth proportional to 9,821.44, 13,539.72 and 7,022.08 is: 9,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.44 : 13,539.72 = 7,022.08 : x
  2. Step 2: Convert to fraction form
    9,821.44/13,539.72 = 7,022.08/x
  3. Step 3: Cross multiply
    9,821.44x = 13,539.72 × 7,022.08
  4. Step 4: Simplify right side
    9,821.44x = 95,076,997.02
  5. Step 5: Solve for x
    x = 95,076,997.02/9,821.44
  6. Step 6: Final answer
    x = 9,680.56

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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.