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Finding the Fourth Proportional to 25,920, 35,772.03 and 14,742

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Solution

The fourth proportional to 25,920, 35,772.03 and 14,742 is: 20,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,920 : 35,772.03 = 14,742 : x
  2. Step 2: Convert to fraction form
    25,920/35,772.03 = 14,742/x
  3. Step 3: Cross multiply
    25,920x = 35,772.03 × 14,742
  4. Step 4: Simplify right side
    25,920x = 527,351,266.26
  5. Step 5: Solve for x
    x = 527,351,266.26/25,920
  6. Step 6: Final answer
    x = 20,345.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.