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Finding the Fourth Proportional to 9,659.68, 14,489.21 and 3,085.72

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Solution

The fourth proportional to 9,659.68, 14,489.21 and 3,085.72 is: 4,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.68 : 14,489.21 = 3,085.72 : x
  2. Step 2: Convert to fraction form
    9,659.68/14,489.21 = 3,085.72/x
  3. Step 3: Cross multiply
    9,659.68x = 14,489.21 × 3,085.72
  4. Step 4: Simplify right side
    9,659.68x = 44,709,616.57
  5. Step 5: Solve for x
    x = 44,709,616.57/9,659.68
  6. Step 6: Final answer
    x = 4,628.48

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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.