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Finding the Fourth Proportional to 25,417, 35,075.48 and 14,239

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Solution

The fourth proportional to 25,417, 35,075.48 and 14,239 is: 19,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,417 : 35,075.48 = 14,239 : x
  2. Step 2: Convert to fraction form
    25,417/35,075.48 = 14,239/x
  3. Step 3: Cross multiply
    25,417x = 35,075.48 × 14,239
  4. Step 4: Simplify right side
    25,417x = 499,439,759.72
  5. Step 5: Solve for x
    x = 499,439,759.72/25,417
  6. Step 6: Final answer
    x = 19,649.83

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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.