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Finding the Fourth Proportional to 9,900.75, 14,857.65 and 3,744.75

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Solution

The fourth proportional to 9,900.75, 14,857.65 and 3,744.75 is: 5,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.75 : 14,857.65 = 3,744.75 : x
  2. Step 2: Convert to fraction form
    9,900.75/14,857.65 = 3,744.75/x
  3. Step 3: Cross multiply
    9,900.75x = 14,857.65 × 3,744.75
  4. Step 4: Simplify right side
    9,900.75x = 55,638,184.84
  5. Step 5: Solve for x
    x = 55,638,184.84/9,900.75
  6. Step 6: Final answer
    x = 5,619.59

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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.