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Finding the Fourth Proportional to 9,984.77, 13,772.87 and 6,398.52

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Solution

The fourth proportional to 9,984.77, 13,772.87 and 6,398.52 is: 8,826.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.77 : 13,772.87 = 6,398.52 : x
  2. Step 2: Convert to fraction form
    9,984.77/13,772.87 = 6,398.52/x
  3. Step 3: Cross multiply
    9,984.77x = 13,772.87 × 6,398.52
  4. Step 4: Simplify right side
    9,984.77x = 88,126,000.15
  5. Step 5: Solve for x
    x = 88,126,000.15/9,984.77
  6. Step 6: Final answer
    x = 8,826.05

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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.