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Finding the Fourth Proportional to 12,635.90, 17,438.06 and 6,971.30

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Solution

The fourth proportional to 12,635.90, 17,438.06 and 6,971.30 is: 9,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.90 : 17,438.06 = 6,971.30 : x
  2. Step 2: Convert to fraction form
    12,635.90/17,438.06 = 6,971.30/x
  3. Step 3: Cross multiply
    12,635.90x = 17,438.06 × 6,971.30
  4. Step 4: Simplify right side
    12,635.90x = 121,566,008.70
  5. Step 5: Solve for x
    x = 121,566,008.70/12,635.90
  6. Step 6: Final answer
    x = 9,620.68

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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.