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Finding the Fourth Proportional to 25,880, 35,714.40 and 14,702

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Solution

The fourth proportional to 25,880, 35,714.40 and 14,702 is: 20,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880 : 35,714.40 = 14,702 : x
  2. Step 2: Convert to fraction form
    25,880/35,714.40 = 14,702/x
  3. Step 3: Cross multiply
    25,880x = 35,714.40 × 14,702
  4. Step 4: Simplify right side
    25,880x = 525,073,108.80
  5. Step 5: Solve for x
    x = 525,073,108.80/25,880
  6. Step 6: Final answer
    x = 20,288.76

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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.