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Finding the Fourth Proportional to 7,405.08, 10,209.06 and 7,175.76

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Solution

The fourth proportional to 7,405.08, 10,209.06 and 7,175.76 is: 9,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.08 : 10,209.06 = 7,175.76 : x
  2. Step 2: Convert to fraction form
    7,405.08/10,209.06 = 7,175.76/x
  3. Step 3: Cross multiply
    7,405.08x = 10,209.06 × 7,175.76
  4. Step 4: Simplify right side
    7,405.08x = 73,257,764.39
  5. Step 5: Solve for x
    x = 73,257,764.39/7,405.08
  6. Step 6: Final answer
    x = 9,892.91

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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.