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Finding the Fourth Proportional to 7,920.48, 10,921.32 and 5,924.64

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Solution

The fourth proportional to 7,920.48, 10,921.32 and 5,924.64 is: 8,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.48 : 10,921.32 = 5,924.64 : x
  2. Step 2: Convert to fraction form
    7,920.48/10,921.32 = 5,924.64/x
  3. Step 3: Cross multiply
    7,920.48x = 10,921.32 × 5,924.64
  4. Step 4: Simplify right side
    7,920.48x = 64,704,889.32
  5. Step 5: Solve for x
    x = 64,704,889.32/7,920.48
  6. Step 6: Final answer
    x = 8,169.31

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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.