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Finding the Fourth Proportional to 9,709.56, 14,565.78 and 3,134.22

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Solution

The fourth proportional to 9,709.56, 14,565.78 and 3,134.22 is: 4,701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.56 : 14,565.78 = 3,134.22 : x
  2. Step 2: Convert to fraction form
    9,709.56/14,565.78 = 3,134.22/x
  3. Step 3: Cross multiply
    9,709.56x = 14,565.78 × 3,134.22
  4. Step 4: Simplify right side
    9,709.56x = 45,652,358.99
  5. Step 5: Solve for x
    x = 45,652,358.99/9,709.56
  6. Step 6: Final answer
    x = 4,701.79

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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.