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Finding the Fourth Proportional to 13,039.18, 19,554 and 4,717.20

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Solution

The fourth proportional to 13,039.18, 19,554 and 4,717.20 is: 7,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.18 : 19,554 = 4,717.20 : x
  2. Step 2: Convert to fraction form
    13,039.18/19,554 = 4,717.20/x
  3. Step 3: Cross multiply
    13,039.18x = 19,554 × 4,717.20
  4. Step 4: Simplify right side
    13,039.18x = 92,240,128.80
  5. Step 5: Solve for x
    x = 92,240,128.80/13,039.18
  6. Step 6: Final answer
    x = 7,074.07

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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.