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Finding the Fourth Proportional to 9,899.60, 13,662.80 and 6,070.56

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Solution

The fourth proportional to 9,899.60, 13,662.80 and 6,070.56 is: 8,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.60 : 13,662.80 = 6,070.56 : x
  2. Step 2: Convert to fraction form
    9,899.60/13,662.80 = 6,070.56/x
  3. Step 3: Cross multiply
    9,899.60x = 13,662.80 × 6,070.56
  4. Step 4: Simplify right side
    9,899.60x = 82,940,847.17
  5. Step 5: Solve for x
    x = 82,940,847.17/9,899.60
  6. Step 6: Final answer
    x = 8,378.20

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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.