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Finding the Fourth Proportional to 7,912.64, 10,912.98 and 5,080.02

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Solution

The fourth proportional to 7,912.64, 10,912.98 and 5,080.02 is: 7,006.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.64 : 10,912.98 = 5,080.02 : x
  2. Step 2: Convert to fraction form
    7,912.64/10,912.98 = 5,080.02/x
  3. Step 3: Cross multiply
    7,912.64x = 10,912.98 × 5,080.02
  4. Step 4: Simplify right side
    7,912.64x = 55,438,106.21
  5. Step 5: Solve for x
    x = 55,438,106.21/7,912.64
  6. Step 6: Final answer
    x = 7,006.27

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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.