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Finding the Fourth Proportional to 13,274.56, 19,920 and 7,730.36

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Solution

The fourth proportional to 13,274.56, 19,920 and 7,730.36 is: 11,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.56 : 19,920 = 7,730.36 : x
  2. Step 2: Convert to fraction form
    13,274.56/19,920 = 7,730.36/x
  3. Step 3: Cross multiply
    13,274.56x = 19,920 × 7,730.36
  4. Step 4: Simplify right side
    13,274.56x = 153,988,771.20
  5. Step 5: Solve for x
    x = 153,988,771.20/13,274.56
  6. Step 6: Final answer
    x = 11,600.29

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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.