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Finding the Fourth Proportional to 8,690.14, 13,017.59 and 6,938.11

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Solution

The fourth proportional to 8,690.14, 13,017.59 and 6,938.11 is: 10,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.14 : 13,017.59 = 6,938.11 : x
  2. Step 2: Convert to fraction form
    8,690.14/13,017.59 = 6,938.11/x
  3. Step 3: Cross multiply
    8,690.14x = 13,017.59 × 6,938.11
  4. Step 4: Simplify right side
    8,690.14x = 90,317,471.35
  5. Step 5: Solve for x
    x = 90,317,471.35/8,690.14
  6. Step 6: Final answer
    x = 10,393.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.