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Finding the Fourth Proportional to 9,817.50, 13,517.34 and 8,666.52

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Solution

The fourth proportional to 9,817.50, 13,517.34 and 8,666.52 is: 11,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.50 : 13,517.34 = 8,666.52 : x
  2. Step 2: Convert to fraction form
    9,817.50/13,517.34 = 8,666.52/x
  3. Step 3: Cross multiply
    9,817.50x = 13,517.34 × 8,666.52
  4. Step 4: Simplify right side
    9,817.50x = 117,148,297.46
  5. Step 5: Solve for x
    x = 117,148,297.46/9,817.50
  6. Step 6: Final answer
    x = 11,932.60

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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.