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Finding the Fourth Proportional to 13,564.99, 20,341.09 and 5,248.92

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Solution

The fourth proportional to 13,564.99, 20,341.09 and 5,248.92 is: 7,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.99 : 20,341.09 = 5,248.92 : x
  2. Step 2: Convert to fraction form
    13,564.99/20,341.09 = 5,248.92/x
  3. Step 3: Cross multiply
    13,564.99x = 20,341.09 × 5,248.92
  4. Step 4: Simplify right side
    13,564.99x = 106,768,754.12
  5. Step 5: Solve for x
    x = 106,768,754.12/13,564.99
  6. Step 6: Final answer
    x = 7,870.91

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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.