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Finding the Fourth Proportional to 13,129.65, 19,678.05 and 6,557.67

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Solution

The fourth proportional to 13,129.65, 19,678.05 and 6,557.67 is: 9,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.65 : 19,678.05 = 6,557.67 : x
  2. Step 2: Convert to fraction form
    13,129.65/19,678.05 = 6,557.67/x
  3. Step 3: Cross multiply
    13,129.65x = 19,678.05 × 6,557.67
  4. Step 4: Simplify right side
    13,129.65x = 129,042,158.14
  5. Step 5: Solve for x
    x = 129,042,158.14/13,129.65
  6. Step 6: Final answer
    x = 9,828.30

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Why These Related Problems?

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