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Finding the Fourth Proportional to 19,838.76, 29,757.24 and 8,742.48

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Solution

The fourth proportional to 19,838.76, 29,757.24 and 8,742.48 is: 13,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.76 : 29,757.24 = 8,742.48 : x
  2. Step 2: Convert to fraction form
    19,838.76/29,757.24 = 8,742.48/x
  3. Step 3: Cross multiply
    19,838.76x = 29,757.24 × 8,742.48
  4. Step 4: Simplify right side
    19,838.76x = 260,152,075.56
  5. Step 5: Solve for x
    x = 260,152,075.56/19,838.76
  6. Step 6: Final answer
    x = 13,113.32

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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.