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Finding the Fourth Proportional to 25,928, 35,780.64 and 14,152

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Solution

The fourth proportional to 25,928, 35,780.64 and 14,152 is: 19,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,928 : 35,780.64 = 14,152 : x
  2. Step 2: Convert to fraction form
    25,928/35,780.64 = 14,152/x
  3. Step 3: Cross multiply
    25,928x = 35,780.64 × 14,152
  4. Step 4: Simplify right side
    25,928x = 506,367,617.28
  5. Step 5: Solve for x
    x = 506,367,617.28/25,928
  6. Step 6: Final answer
    x = 19,529.76

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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.