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Finding the Fourth Proportional to 7,165.80, 10,747.89 and 1,971

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Solution

The fourth proportional to 7,165.80, 10,747.89 and 1,971 is: 2,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.80 : 10,747.89 = 1,971 : x
  2. Step 2: Convert to fraction form
    7,165.80/10,747.89 = 1,971/x
  3. Step 3: Cross multiply
    7,165.80x = 10,747.89 × 1,971
  4. Step 4: Simplify right side
    7,165.80x = 21,184,091.19
  5. Step 5: Solve for x
    x = 21,184,091.19/7,165.80
  6. Step 6: Final answer
    x = 2,956.28

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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.