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Finding the Fourth Proportional to 7,911.68, 10,922.24 and 7,388.16

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Solution

The fourth proportional to 7,911.68, 10,922.24 and 7,388.16 is: 10,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.68 : 10,922.24 = 7,388.16 : x
  2. Step 2: Convert to fraction form
    7,911.68/10,922.24 = 7,388.16/x
  3. Step 3: Cross multiply
    7,911.68x = 10,922.24 × 7,388.16
  4. Step 4: Simplify right side
    7,911.68x = 80,695,256.68
  5. Step 5: Solve for x
    x = 80,695,256.68/7,911.68
  6. Step 6: Final answer
    x = 10,199.51

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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.