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Finding the Fourth Proportional to 9,700.80, 13,393.22 and 6,874.16

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Solution

The fourth proportional to 9,700.80, 13,393.22 and 6,874.16 is: 9,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.80 : 13,393.22 = 6,874.16 : x
  2. Step 2: Convert to fraction form
    9,700.80/13,393.22 = 6,874.16/x
  3. Step 3: Cross multiply
    9,700.80x = 13,393.22 × 6,874.16
  4. Step 4: Simplify right side
    9,700.80x = 92,067,137.20
  5. Step 5: Solve for x
    x = 92,067,137.20/9,700.80
  6. Step 6: Final answer
    x = 9,490.67

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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.