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Finding the Fourth Proportional to 13,509.34, 20,265.19 and 4,624.31

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Solution

The fourth proportional to 13,509.34, 20,265.19 and 4,624.31 is: 6,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.34 : 20,265.19 = 4,624.31 : x
  2. Step 2: Convert to fraction form
    13,509.34/20,265.19 = 4,624.31/x
  3. Step 3: Cross multiply
    13,509.34x = 20,265.19 × 4,624.31
  4. Step 4: Simplify right side
    13,509.34x = 93,712,559.87
  5. Step 5: Solve for x
    x = 93,712,559.87/13,509.34
  6. Step 6: Final answer
    x = 6,936.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.