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Finding the Fourth Proportional to 13,693.64, 18,897.21 and 7,406

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Solution

The fourth proportional to 13,693.64, 18,897.21 and 7,406 is: 10,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.64 : 18,897.21 = 7,406 : x
  2. Step 2: Convert to fraction form
    13,693.64/18,897.21 = 7,406/x
  3. Step 3: Cross multiply
    13,693.64x = 18,897.21 × 7,406
  4. Step 4: Simplify right side
    13,693.64x = 139,952,737.26
  5. Step 5: Solve for x
    x = 139,952,737.26/13,693.64
  6. Step 6: Final answer
    x = 10,220.27

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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.