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Finding the Fourth Proportional to 13,103.98, 18,084.08 and 7,726.64

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Solution

The fourth proportional to 13,103.98, 18,084.08 and 7,726.64 is: 10,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.98 : 18,084.08 = 7,726.64 : x
  2. Step 2: Convert to fraction form
    13,103.98/18,084.08 = 7,726.64/x
  3. Step 3: Cross multiply
    13,103.98x = 18,084.08 × 7,726.64
  4. Step 4: Simplify right side
    13,103.98x = 139,729,175.89
  5. Step 5: Solve for x
    x = 139,729,175.89/13,103.98
  6. Step 6: Final answer
    x = 10,663.11

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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.