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Finding the Fourth Proportional to 10,392.09, 15,551 and 8,325.24

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Solution

The fourth proportional to 10,392.09, 15,551 and 8,325.24 is: 12,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.09 : 15,551 = 8,325.24 : x
  2. Step 2: Convert to fraction form
    10,392.09/15,551 = 8,325.24/x
  3. Step 3: Cross multiply
    10,392.09x = 15,551 × 8,325.24
  4. Step 4: Simplify right side
    10,392.09x = 129,465,807.24
  5. Step 5: Solve for x
    x = 129,465,807.24/10,392.09
  6. Step 6: Final answer
    x = 12,458.11

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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.