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Finding the Fourth Proportional to 13,745.18, 18,968.95 and 7,776.70

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Solution

The fourth proportional to 13,745.18, 18,968.95 and 7,776.70 is: 10,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.18 : 18,968.95 = 7,776.70 : x
  2. Step 2: Convert to fraction form
    13,745.18/18,968.95 = 7,776.70/x
  3. Step 3: Cross multiply
    13,745.18x = 18,968.95 × 7,776.70
  4. Step 4: Simplify right side
    13,745.18x = 147,515,833.47
  5. Step 5: Solve for x
    x = 147,515,833.47/13,745.18
  6. Step 6: Final answer
    x = 10,732.19

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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.