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Finding the Fourth Proportional to 10,620.78, 14,660.74 and 7,082.70

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Solution

The fourth proportional to 10,620.78, 14,660.74 and 7,082.70 is: 9,776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.78 : 14,660.74 = 7,082.70 : x
  2. Step 2: Convert to fraction form
    10,620.78/14,660.74 = 7,082.70/x
  3. Step 3: Cross multiply
    10,620.78x = 14,660.74 × 7,082.70
  4. Step 4: Simplify right side
    10,620.78x = 103,837,623.20
  5. Step 5: Solve for x
    x = 103,837,623.20/10,620.78
  6. Step 6: Final answer
    x = 9,776.84

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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.