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Finding the Fourth Proportional to 9,970.36, 13,747.86 and 6,380.62

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Solution

The fourth proportional to 9,970.36, 13,747.86 and 6,380.62 is: 8,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.36 : 13,747.86 = 6,380.62 : x
  2. Step 2: Convert to fraction form
    9,970.36/13,747.86 = 6,380.62/x
  3. Step 3: Cross multiply
    9,970.36x = 13,747.86 × 6,380.62
  4. Step 4: Simplify right side
    9,970.36x = 87,719,870.47
  5. Step 5: Solve for x
    x = 87,719,870.47/9,970.36
  6. Step 6: Final answer
    x = 8,798.06

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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.