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Finding the Fourth Proportional to 10,839.78, 14,954.04 and 9,509.40

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Solution

The fourth proportional to 10,839.78, 14,954.04 and 9,509.40 is: 13,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.78 : 14,954.04 = 9,509.40 : x
  2. Step 2: Convert to fraction form
    10,839.78/14,954.04 = 9,509.40/x
  3. Step 3: Cross multiply
    10,839.78x = 14,954.04 × 9,509.40
  4. Step 4: Simplify right side
    10,839.78x = 142,203,947.98
  5. Step 5: Solve for x
    x = 142,203,947.98/10,839.78
  6. Step 6: Final answer
    x = 13,118.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.