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Finding the Fourth Proportional to 25,518, 35,215.02 and 14,340

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Solution

The fourth proportional to 25,518, 35,215.02 and 14,340 is: 19,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,518 : 35,215.02 = 14,340 : x
  2. Step 2: Convert to fraction form
    25,518/35,215.02 = 14,340/x
  3. Step 3: Cross multiply
    25,518x = 35,215.02 × 14,340
  4. Step 4: Simplify right side
    25,518x = 504,983,386.80
  5. Step 5: Solve for x
    x = 504,983,386.80/25,518
  6. Step 6: Final answer
    x = 19,789.30

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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.