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Finding the Fourth Proportional to 13,503.92, 18,635.80 and 7,535.46

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Solution

The fourth proportional to 13,503.92, 18,635.80 and 7,535.46 is: 10,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.92 : 18,635.80 = 7,535.46 : x
  2. Step 2: Convert to fraction form
    13,503.92/18,635.80 = 7,535.46/x
  3. Step 3: Cross multiply
    13,503.92x = 18,635.80 × 7,535.46
  4. Step 4: Simplify right side
    13,503.92x = 140,429,325.47
  5. Step 5: Solve for x
    x = 140,429,325.47/13,503.92
  6. Step 6: Final answer
    x = 10,399.15

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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.