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Finding the Fourth Proportional to 12,902.13, 19,354.23 and 5,506.67

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Solution

The fourth proportional to 12,902.13, 19,354.23 and 5,506.67 is: 8,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.13 : 19,354.23 = 5,506.67 : x
  2. Step 2: Convert to fraction form
    12,902.13/19,354.23 = 5,506.67/x
  3. Step 3: Cross multiply
    12,902.13x = 19,354.23 × 5,506.67
  4. Step 4: Simplify right side
    12,902.13x = 106,577,406.10
  5. Step 5: Solve for x
    x = 106,577,406.10/12,902.13
  6. Step 6: Final answer
    x = 8,260.45

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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.