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Finding the Fourth Proportional to 13,470.68, 18,589.51 and 7,502.87

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Solution

The fourth proportional to 13,470.68, 18,589.51 and 7,502.87 is: 10,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.68 : 18,589.51 = 7,502.87 : x
  2. Step 2: Convert to fraction form
    13,470.68/18,589.51 = 7,502.87/x
  3. Step 3: Cross multiply
    13,470.68x = 18,589.51 × 7,502.87
  4. Step 4: Simplify right side
    13,470.68x = 139,474,593.32
  5. Step 5: Solve for x
    x = 139,474,593.32/13,470.68
  6. Step 6: Final answer
    x = 10,353.94

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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.