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Finding the Fourth Proportional to 13,330.24, 19,978.56 and 6,758.08

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Solution

The fourth proportional to 13,330.24, 19,978.56 and 6,758.08 is: 10,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,330.24 : 19,978.56 = 6,758.08 : x
  2. Step 2: Convert to fraction form
    13,330.24/19,978.56 = 6,758.08/x
  3. Step 3: Cross multiply
    13,330.24x = 19,978.56 × 6,758.08
  4. Step 4: Simplify right side
    13,330.24x = 135,016,706.76
  5. Step 5: Solve for x
    x = 135,016,706.76/13,330.24
  6. Step 6: Final answer
    x = 10,128.60

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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.