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Finding the Fourth Proportional to 9,309.59, 13,964.03 and 2,289.63

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Solution

The fourth proportional to 9,309.59, 13,964.03 and 2,289.63 is: 3,434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.59 : 13,964.03 = 2,289.63 : x
  2. Step 2: Convert to fraction form
    9,309.59/13,964.03 = 2,289.63/x
  3. Step 3: Cross multiply
    9,309.59x = 13,964.03 × 2,289.63
  4. Step 4: Simplify right side
    9,309.59x = 31,972,462.01
  5. Step 5: Solve for x
    x = 31,972,462.01/9,309.59
  6. Step 6: Final answer
    x = 3,434.36

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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.