Home / 7,165.72-10,748.84-1,972

Finding the Fourth Proportional to 7,165.72, 10,748.84 and 1,972

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Solution

The fourth proportional to 7,165.72, 10,748.84 and 1,972 is: 2,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.72 : 10,748.84 = 1,972 : x
  2. Step 2: Convert to fraction form
    7,165.72/10,748.84 = 1,972/x
  3. Step 3: Cross multiply
    7,165.72x = 10,748.84 × 1,972
  4. Step 4: Simplify right side
    7,165.72x = 21,196,712.48
  5. Step 5: Solve for x
    x = 21,196,712.48/7,165.72
  6. Step 6: Final answer
    x = 2,958.07

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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.