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Finding the Fourth Proportional to 25,509, 35,205.66 and 14,331

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Solution

The fourth proportional to 25,509, 35,205.66 and 14,331 is: 19,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,509 : 35,205.66 = 14,331 : x
  2. Step 2: Convert to fraction form
    25,509/35,205.66 = 14,331/x
  3. Step 3: Cross multiply
    25,509x = 35,205.66 × 14,331
  4. Step 4: Simplify right side
    25,509x = 504,532,313.46
  5. Step 5: Solve for x
    x = 504,532,313.46/25,509
  6. Step 6: Final answer
    x = 19,778.60

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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.