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Finding the Fourth Proportional to 7,742.64, 11,553.04 and 7,272.48

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Solution

The fourth proportional to 7,742.64, 11,553.04 and 7,272.48 is: 10,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.64 : 11,553.04 = 7,272.48 : x
  2. Step 2: Convert to fraction form
    7,742.64/11,553.04 = 7,272.48/x
  3. Step 3: Cross multiply
    7,742.64x = 11,553.04 × 7,272.48
  4. Step 4: Simplify right side
    7,742.64x = 84,019,252.34
  5. Step 5: Solve for x
    x = 84,019,252.34/7,742.64
  6. Step 6: Final answer
    x = 10,851.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.