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Finding the Fourth Proportional to 13,368.08, 20,022.96 and 6,428

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Solution

The fourth proportional to 13,368.08, 20,022.96 and 6,428 is: 9,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,368.08 : 20,022.96 = 6,428 : x
  2. Step 2: Convert to fraction form
    13,368.08/20,022.96 = 6,428/x
  3. Step 3: Cross multiply
    13,368.08x = 20,022.96 × 6,428
  4. Step 4: Simplify right side
    13,368.08x = 128,707,586.88
  5. Step 5: Solve for x
    x = 128,707,586.88/13,368.08
  6. Step 6: Final answer
    x = 9,627.98

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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.