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Finding the Fourth Proportional to 7,166, 10,747.68 and 1,971.20

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Solution

The fourth proportional to 7,166, 10,747.68 and 1,971.20 is: 2,956.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166 : 10,747.68 = 1,971.20 : x
  2. Step 2: Convert to fraction form
    7,166/10,747.68 = 1,971.20/x
  3. Step 3: Cross multiply
    7,166x = 10,747.68 × 1,971.20
  4. Step 4: Simplify right side
    7,166x = 21,185,826.82
  5. Step 5: Solve for x
    x = 21,185,826.82/7,166
  6. Step 6: Final answer
    x = 2,956.44

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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.