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Finding the Fourth Proportional to 13,713.95, 18,925.26 and 7,426.31

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Solution

The fourth proportional to 13,713.95, 18,925.26 and 7,426.31 is: 10,248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.95 : 18,925.26 = 7,426.31 : x
  2. Step 2: Convert to fraction form
    13,713.95/18,925.26 = 7,426.31/x
  3. Step 3: Cross multiply
    13,713.95x = 18,925.26 × 7,426.31
  4. Step 4: Simplify right side
    13,713.95x = 140,544,847.59
  5. Step 5: Solve for x
    x = 140,544,847.59/13,713.95
  6. Step 6: Final answer
    x = 10,248.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.