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Finding the Fourth Proportional to 13,693.75, 18,897.38 and 7,406.13

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Solution

The fourth proportional to 13,693.75, 18,897.38 and 7,406.13 is: 10,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.75 : 18,897.38 = 7,406.13 : x
  2. Step 2: Convert to fraction form
    13,693.75/18,897.38 = 7,406.13/x
  3. Step 3: Cross multiply
    13,693.75x = 18,897.38 × 7,406.13
  4. Step 4: Simplify right side
    13,693.75x = 139,956,452.94
  5. Step 5: Solve for x
    x = 139,956,452.94/13,693.75
  6. Step 6: Final answer
    x = 10,220.46

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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.