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Finding the Fourth Proportional to 10,289.68, 15,443.16 and 8,250.64

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Solution

The fourth proportional to 10,289.68, 15,443.16 and 8,250.64 is: 12,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.68 : 15,443.16 = 8,250.64 : x
  2. Step 2: Convert to fraction form
    10,289.68/15,443.16 = 8,250.64/x
  3. Step 3: Cross multiply
    10,289.68x = 15,443.16 × 8,250.64
  4. Step 4: Simplify right side
    10,289.68x = 127,415,953.62
  5. Step 5: Solve for x
    x = 127,415,953.62/10,289.68
  6. Step 6: Final answer
    x = 12,382.89

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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.