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Finding the Fourth Proportional to 9,984.70, 13,778.71 and 5,508.88

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Solution

The fourth proportional to 9,984.70, 13,778.71 and 5,508.88 is: 7,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.70 : 13,778.71 = 5,508.88 : x
  2. Step 2: Convert to fraction form
    9,984.70/13,778.71 = 5,508.88/x
  3. Step 3: Cross multiply
    9,984.70x = 13,778.71 × 5,508.88
  4. Step 4: Simplify right side
    9,984.70x = 75,905,259.94
  5. Step 5: Solve for x
    x = 75,905,259.94/9,984.70
  6. Step 6: Final answer
    x = 7,602.16

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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.