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Finding the Fourth Proportional to 10,075.74, 13,906.24 and 6,489.68

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Solution

The fourth proportional to 10,075.74, 13,906.24 and 6,489.68 is: 8,956.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.74 : 13,906.24 = 6,489.68 : x
  2. Step 2: Convert to fraction form
    10,075.74/13,906.24 = 6,489.68/x
  3. Step 3: Cross multiply
    10,075.74x = 13,906.24 × 6,489.68
  4. Step 4: Simplify right side
    10,075.74x = 90,247,047.60
  5. Step 5: Solve for x
    x = 90,247,047.60/10,075.74
  6. Step 6: Final answer
    x = 8,956.87

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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.