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Finding the Fourth Proportional to 12,397.90, 17,109.08 and 6,808.90

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Solution

The fourth proportional to 12,397.90, 17,109.08 and 6,808.90 is: 9,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.90 : 17,109.08 = 6,808.90 : x
  2. Step 2: Convert to fraction form
    12,397.90/17,109.08 = 6,808.90/x
  3. Step 3: Cross multiply
    12,397.90x = 17,109.08 × 6,808.90
  4. Step 4: Simplify right side
    12,397.90x = 116,494,014.81
  5. Step 5: Solve for x
    x = 116,494,014.81/12,397.90
  6. Step 6: Final answer
    x = 9,396.27

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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.