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Finding the Fourth Proportional to 25,378, 35,037 and 16,561.36

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Solution

The fourth proportional to 25,378, 35,037 and 16,561.36 is: 22,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378 : 35,037 = 16,561.36 : x
  2. Step 2: Convert to fraction form
    25,378/35,037 = 16,561.36/x
  3. Step 3: Cross multiply
    25,378x = 35,037 × 16,561.36
  4. Step 4: Simplify right side
    25,378x = 580,260,370.32
  5. Step 5: Solve for x
    x = 580,260,370.32/25,378
  6. Step 6: Final answer
    x = 22,864.70

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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.