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Finding the Fourth Proportional to 13,828.19, 20,740.01 and 5,931.99

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Solution

The fourth proportional to 13,828.19, 20,740.01 and 5,931.99 is: 8,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.19 : 20,740.01 = 5,931.99 : x
  2. Step 2: Convert to fraction form
    13,828.19/20,740.01 = 5,931.99/x
  3. Step 3: Cross multiply
    13,828.19x = 20,740.01 × 5,931.99
  4. Step 4: Simplify right side
    13,828.19x = 123,029,502.26
  5. Step 5: Solve for x
    x = 123,029,502.26/13,828.19
  6. Step 6: Final answer
    x = 8,897.01

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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.