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Finding the Fourth Proportional to 13,713.95, 18,925.34 and 7,426.32

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Solution

The fourth proportional to 13,713.95, 18,925.34 and 7,426.32 is: 10,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.95 : 18,925.34 = 7,426.32 : x
  2. Step 2: Convert to fraction form
    13,713.95/18,925.34 = 7,426.32/x
  3. Step 3: Cross multiply
    13,713.95x = 18,925.34 × 7,426.32
  4. Step 4: Simplify right side
    13,713.95x = 140,545,593.82
  5. Step 5: Solve for x
    x = 140,545,593.82/13,713.95
  6. Step 6: Final answer
    x = 10,248.37

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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.