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Finding the Fourth Proportional to 7,112.47, 9,812.91 and 3,968.05

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Solution

The fourth proportional to 7,112.47, 9,812.91 and 3,968.05 is: 5,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.47 : 9,812.91 = 3,968.05 : x
  2. Step 2: Convert to fraction form
    7,112.47/9,812.91 = 3,968.05/x
  3. Step 3: Cross multiply
    7,112.47x = 9,812.91 × 3,968.05
  4. Step 4: Simplify right side
    7,112.47x = 38,938,117.53
  5. Step 5: Solve for x
    x = 38,938,117.53/7,112.47
  6. Step 6: Final answer
    x = 5,474.63

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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.