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Finding the Fourth Proportional to 25,878.84, 35,687.43 and 16,431

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Solution

The fourth proportional to 25,878.84, 35,687.43 and 16,431 is: 22,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878.84 : 35,687.43 = 16,431 : x
  2. Step 2: Convert to fraction form
    25,878.84/35,687.43 = 16,431/x
  3. Step 3: Cross multiply
    25,878.84x = 35,687.43 × 16,431
  4. Step 4: Simplify right side
    25,878.84x = 586,380,162.33
  5. Step 5: Solve for x
    x = 586,380,162.33/25,878.84
  6. Step 6: Final answer
    x = 22,658.67

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1.5x scale

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.