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Finding the Fourth Proportional to 10,720.64, 14,800.17 and 8,074.37

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Solution

The fourth proportional to 10,720.64, 14,800.17 and 8,074.37 is: 11,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.64 : 14,800.17 = 8,074.37 : x
  2. Step 2: Convert to fraction form
    10,720.64/14,800.17 = 8,074.37/x
  3. Step 3: Cross multiply
    10,720.64x = 14,800.17 × 8,074.37
  4. Step 4: Simplify right side
    10,720.64x = 119,501,974.64
  5. Step 5: Solve for x
    x = 119,501,974.64/10,720.64
  6. Step 6: Final answer
    x = 11,146.91

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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.