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Finding the Fourth Proportional to 11,969.28, 16,515 and 7,254.72

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Solution

The fourth proportional to 11,969.28, 16,515 and 7,254.72 is: 10,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.28 : 16,515 = 7,254.72 : x
  2. Step 2: Convert to fraction form
    11,969.28/16,515 = 7,254.72/x
  3. Step 3: Cross multiply
    11,969.28x = 16,515 × 7,254.72
  4. Step 4: Simplify right side
    11,969.28x = 119,811,700.80
  5. Step 5: Solve for x
    x = 119,811,700.80/11,969.28
  6. Step 6: Final answer
    x = 10,009.93

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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.