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Finding the Fourth Proportional to 25,346, 34,977.48 and 15,410

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Solution

The fourth proportional to 25,346, 34,977.48 and 15,410 is: 21,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,346 : 34,977.48 = 15,410 : x
  2. Step 2: Convert to fraction form
    25,346/34,977.48 = 15,410/x
  3. Step 3: Cross multiply
    25,346x = 34,977.48 × 15,410
  4. Step 4: Simplify right side
    25,346x = 539,002,966.80
  5. Step 5: Solve for x
    x = 539,002,966.80/25,346
  6. Step 6: Final answer
    x = 21,265.80

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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.