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Finding the Fourth Proportional to 7,911.33, 10,922 and 5,921.16

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Solution

The fourth proportional to 7,911.33, 10,922 and 5,921.16 is: 8,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.33 : 10,922 = 5,921.16 : x
  2. Step 2: Convert to fraction form
    7,911.33/10,922 = 5,921.16/x
  3. Step 3: Cross multiply
    7,911.33x = 10,922 × 5,921.16
  4. Step 4: Simplify right side
    7,911.33x = 64,670,909.52
  5. Step 5: Solve for x
    x = 64,670,909.52/7,911.33
  6. Step 6: Final answer
    x = 8,174.47

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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.