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Finding the Fourth Proportional to 7,186.57, 10,780.16 and 2,507.05

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Solution

The fourth proportional to 7,186.57, 10,780.16 and 2,507.05 is: 3,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.57 : 10,780.16 = 2,507.05 : x
  2. Step 2: Convert to fraction form
    7,186.57/10,780.16 = 2,507.05/x
  3. Step 3: Cross multiply
    7,186.57x = 10,780.16 × 2,507.05
  4. Step 4: Simplify right side
    7,186.57x = 27,026,422.22
  5. Step 5: Solve for x
    x = 27,026,422.22/7,186.57
  6. Step 6: Final answer
    x = 3,760.68

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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.