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Finding the Fourth Proportional to 9,509.59, 14,259.12 and 3,891.21

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Solution

The fourth proportional to 9,509.59, 14,259.12 and 3,891.21 is: 5,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.59 : 14,259.12 = 3,891.21 : x
  2. Step 2: Convert to fraction form
    9,509.59/14,259.12 = 3,891.21/x
  3. Step 3: Cross multiply
    9,509.59x = 14,259.12 × 3,891.21
  4. Step 4: Simplify right side
    9,509.59x = 55,485,230.34
  5. Step 5: Solve for x
    x = 55,485,230.34/9,509.59
  6. Step 6: Final answer
    x = 5,834.66

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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.