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Finding the Fourth Proportional to 9,770.60, 13,487.46 and 6,979.88

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Solution

The fourth proportional to 9,770.60, 13,487.46 and 6,979.88 is: 9,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.60 : 13,487.46 = 6,979.88 : x
  2. Step 2: Convert to fraction form
    9,770.60/13,487.46 = 6,979.88/x
  3. Step 3: Cross multiply
    9,770.60x = 13,487.46 × 6,979.88
  4. Step 4: Simplify right side
    9,770.60x = 94,140,852.30
  5. Step 5: Solve for x
    x = 94,140,852.30/9,770.60
  6. Step 6: Final answer
    x = 9,635.11

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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.