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Finding the Fourth Proportional to 7,342.64, 10,992.09 and 7,080.20

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Solution

The fourth proportional to 7,342.64, 10,992.09 and 7,080.20 is: 10,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.64 : 10,992.09 = 7,080.20 : x
  2. Step 2: Convert to fraction form
    7,342.64/10,992.09 = 7,080.20/x
  3. Step 3: Cross multiply
    7,342.64x = 10,992.09 × 7,080.20
  4. Step 4: Simplify right side
    7,342.64x = 77,826,223.10
  5. Step 5: Solve for x
    x = 77,826,223.10/7,342.64
  6. Step 6: Final answer
    x = 10,599.21

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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.