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Finding the Fourth Proportional to 6,989.76, 9,642.24 and 5,664.96

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Solution

The fourth proportional to 6,989.76, 9,642.24 and 5,664.96 is: 7,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.76 : 9,642.24 = 5,664.96 : x
  2. Step 2: Convert to fraction form
    6,989.76/9,642.24 = 5,664.96/x
  3. Step 3: Cross multiply
    6,989.76x = 9,642.24 × 5,664.96
  4. Step 4: Simplify right side
    6,989.76x = 54,622,903.91
  5. Step 5: Solve for x
    x = 54,622,903.91/6,989.76
  6. Step 6: Final answer
    x = 7,814.70

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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.