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Finding the Fourth Proportional to 12,538, 17,310.30 and 8,069.51

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Solution

The fourth proportional to 12,538, 17,310.30 and 8,069.51 is: 11,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538 : 17,310.30 = 8,069.51 : x
  2. Step 2: Convert to fraction form
    12,538/17,310.30 = 8,069.51/x
  3. Step 3: Cross multiply
    12,538x = 17,310.30 × 8,069.51
  4. Step 4: Simplify right side
    12,538x = 139,685,638.95
  5. Step 5: Solve for x
    x = 139,685,638.95/12,538
  6. Step 6: Final answer
    x = 11,140.98

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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.