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Finding the Fourth Proportional to 13,693.49, 18,897.90 and 7,722.98

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Solution

The fourth proportional to 13,693.49, 18,897.90 and 7,722.98 is: 10,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.49 : 18,897.90 = 7,722.98 : x
  2. Step 2: Convert to fraction form
    13,693.49/18,897.90 = 7,722.98/x
  3. Step 3: Cross multiply
    13,693.49x = 18,897.90 × 7,722.98
  4. Step 4: Simplify right side
    13,693.49x = 145,948,103.74
  5. Step 5: Solve for x
    x = 145,948,103.74/13,693.49
  6. Step 6: Final answer
    x = 10,658.21

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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.