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Finding the Fourth Proportional to 13,426.30, 18,527.65 and 7,458.33

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Solution

The fourth proportional to 13,426.30, 18,527.65 and 7,458.33 is: 10,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.30 : 18,527.65 = 7,458.33 : x
  2. Step 2: Convert to fraction form
    13,426.30/18,527.65 = 7,458.33/x
  3. Step 3: Cross multiply
    13,426.30x = 18,527.65 × 7,458.33
  4. Step 4: Simplify right side
    13,426.30x = 138,185,327.82
  5. Step 5: Solve for x
    x = 138,185,327.82/13,426.30
  6. Step 6: Final answer
    x = 10,292.14

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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.