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Finding the Fourth Proportional to 25,431, 35,094.78 and 15,495

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Solution

The fourth proportional to 25,431, 35,094.78 and 15,495 is: 21,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,431 : 35,094.78 = 15,495 : x
  2. Step 2: Convert to fraction form
    25,431/35,094.78 = 15,495/x
  3. Step 3: Cross multiply
    25,431x = 35,094.78 × 15,495
  4. Step 4: Simplify right side
    25,431x = 543,793,616.10
  5. Step 5: Solve for x
    x = 543,793,616.10/25,431
  6. Step 6: Final answer
    x = 21,383.10

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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.