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Finding the Fourth Proportional to 7,112.64, 9,814.86 and 3,968.76

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Solution

The fourth proportional to 7,112.64, 9,814.86 and 3,968.76 is: 5,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.64 : 9,814.86 = 3,968.76 : x
  2. Step 2: Convert to fraction form
    7,112.64/9,814.86 = 3,968.76/x
  3. Step 3: Cross multiply
    7,112.64x = 9,814.86 × 3,968.76
  4. Step 4: Simplify right side
    7,112.64x = 38,952,823.77
  5. Step 5: Solve for x
    x = 38,952,823.77/7,112.64
  6. Step 6: Final answer
    x = 5,476.56

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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.