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Finding the Fourth Proportional to 7,825.64, 11,750.67 and 6,984.86

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Solution

The fourth proportional to 7,825.64, 11,750.67 and 6,984.86 is: 10,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.64 : 11,750.67 = 6,984.86 : x
  2. Step 2: Convert to fraction form
    7,825.64/11,750.67 = 6,984.86/x
  3. Step 3: Cross multiply
    7,825.64x = 11,750.67 × 6,984.86
  4. Step 4: Simplify right side
    7,825.64x = 82,076,726.10
  5. Step 5: Solve for x
    x = 82,076,726.10/7,825.64
  6. Step 6: Final answer
    x = 10,488.19

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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.