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Finding the Fourth Proportional to 8,498.29, 12,690.19 and 6,941.38

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Solution

The fourth proportional to 8,498.29, 12,690.19 and 6,941.38 is: 10,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.29 : 12,690.19 = 6,941.38 : x
  2. Step 2: Convert to fraction form
    8,498.29/12,690.19 = 6,941.38/x
  3. Step 3: Cross multiply
    8,498.29x = 12,690.19 × 6,941.38
  4. Step 4: Simplify right side
    8,498.29x = 88,087,431.06
  5. Step 5: Solve for x
    x = 88,087,431.06/8,498.29
  6. Step 6: Final answer
    x = 10,365.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.