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Finding the Fourth Proportional to 13,274, 19,878.14 and 7,710.48

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Solution

The fourth proportional to 13,274, 19,878.14 and 7,710.48 is: 11,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274 : 19,878.14 = 7,710.48 : x
  2. Step 2: Convert to fraction form
    13,274/19,878.14 = 7,710.48/x
  3. Step 3: Cross multiply
    13,274x = 19,878.14 × 7,710.48
  4. Step 4: Simplify right side
    13,274x = 153,270,000.91
  5. Step 5: Solve for x
    x = 153,270,000.91/13,274
  6. Step 6: Final answer
    x = 11,546.63

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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.