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Finding the Fourth Proportional to 13,279.84, 19,913.04 and 7,434.88

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Solution

The fourth proportional to 13,279.84, 19,913.04 and 7,434.88 is: 11,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,279.84 : 19,913.04 = 7,434.88 : x
  2. Step 2: Convert to fraction form
    13,279.84/19,913.04 = 7,434.88/x
  3. Step 3: Cross multiply
    13,279.84x = 19,913.04 × 7,434.88
  4. Step 4: Simplify right side
    13,279.84x = 148,051,062.84
  5. Step 5: Solve for x
    x = 148,051,062.84/13,279.84
  6. Step 6: Final answer
    x = 11,148.56

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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.