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Finding the Fourth Proportional to 7,191.76, 9,921.32 and 5,199.16

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Solution

The fourth proportional to 7,191.76, 9,921.32 and 5,199.16 is: 7,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.76 : 9,921.32 = 5,199.16 : x
  2. Step 2: Convert to fraction form
    7,191.76/9,921.32 = 5,199.16/x
  3. Step 3: Cross multiply
    7,191.76x = 9,921.32 × 5,199.16
  4. Step 4: Simplify right side
    7,191.76x = 51,582,530.09
  5. Step 5: Solve for x
    x = 51,582,530.09/7,191.76
  6. Step 6: Final answer
    x = 7,172.45

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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.