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Finding the Fourth Proportional to 25,880, 35,714.40 and 14,104

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Solution

The fourth proportional to 25,880, 35,714.40 and 14,104 is: 19,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880 : 35,714.40 = 14,104 : x
  2. Step 2: Convert to fraction form
    25,880/35,714.40 = 14,104/x
  3. Step 3: Cross multiply
    25,880x = 35,714.40 × 14,104
  4. Step 4: Simplify right side
    25,880x = 503,715,897.60
  5. Step 5: Solve for x
    x = 503,715,897.60/25,880
  6. Step 6: Final answer
    x = 19,463.52

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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.