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Finding the Fourth Proportional to 13,693.49, 18,897 and 7,405.87

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Solution

The fourth proportional to 13,693.49, 18,897 and 7,405.87 is: 10,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.49 : 18,897 = 7,405.87 : x
  2. Step 2: Convert to fraction form
    13,693.49/18,897 = 7,405.87/x
  3. Step 3: Cross multiply
    13,693.49x = 18,897 × 7,405.87
  4. Step 4: Simplify right side
    13,693.49x = 139,948,725.39
  5. Step 5: Solve for x
    x = 139,948,725.39/13,693.49
  6. Step 6: Final answer
    x = 10,220.09

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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.