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Finding the Fourth Proportional to 25,878, 35,711.64 and 14,700

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Solution

The fourth proportional to 25,878, 35,711.64 and 14,700 is: 20,286

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878 : 35,711.64 = 14,700 : x
  2. Step 2: Convert to fraction form
    25,878/35,711.64 = 14,700/x
  3. Step 3: Cross multiply
    25,878x = 35,711.64 × 14,700
  4. Step 4: Simplify right side
    25,878x = 524,961,108
  5. Step 5: Solve for x
    x = 524,961,108/25,878
  6. Step 6: Final answer
    x = 20,286

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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.