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Finding the Fourth Proportional to 8,670.30, 11,954.88 and 8,203.20

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Solution

The fourth proportional to 8,670.30, 11,954.88 and 8,203.20 is: 11,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.30 : 11,954.88 = 8,203.20 : x
  2. Step 2: Convert to fraction form
    8,670.30/11,954.88 = 8,203.20/x
  3. Step 3: Cross multiply
    8,670.30x = 11,954.88 × 8,203.20
  4. Step 4: Simplify right side
    8,670.30x = 98,068,271.62
  5. Step 5: Solve for x
    x = 98,068,271.62/8,670.30
  6. Step 6: Final answer
    x = 11,310.83

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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.