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Finding the Fourth Proportional to 7,911.20, 10,917.20 and 4,374.24

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Solution

The fourth proportional to 7,911.20, 10,917.20 and 4,374.24 is: 6,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.20 : 10,917.20 = 4,374.24 : x
  2. Step 2: Convert to fraction form
    7,911.20/10,917.20 = 4,374.24/x
  3. Step 3: Cross multiply
    7,911.20x = 10,917.20 × 4,374.24
  4. Step 4: Simplify right side
    7,911.20x = 47,754,452.93
  5. Step 5: Solve for x
    x = 47,754,452.93/7,911.20
  6. Step 6: Final answer
    x = 6,036.31

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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.