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Finding the Fourth Proportional to 7,972.48, 11,940.16 and 7,695.68

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Solution

The fourth proportional to 7,972.48, 11,940.16 and 7,695.68 is: 11,525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.48 : 11,940.16 = 7,695.68 : x
  2. Step 2: Convert to fraction form
    7,972.48/11,940.16 = 7,695.68/x
  3. Step 3: Cross multiply
    7,972.48x = 11,940.16 × 7,695.68
  4. Step 4: Simplify right side
    7,972.48x = 91,887,650.51
  5. Step 5: Solve for x
    x = 91,887,650.51/7,972.48
  6. Step 6: Final answer
    x = 11,525.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.