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Finding the Fourth Proportional to 25,605, 35,334.90 and 13,829

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Solution

The fourth proportional to 25,605, 35,334.90 and 13,829 is: 19,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605 : 35,334.90 = 13,829 : x
  2. Step 2: Convert to fraction form
    25,605/35,334.90 = 13,829/x
  3. Step 3: Cross multiply
    25,605x = 35,334.90 × 13,829
  4. Step 4: Simplify right side
    25,605x = 488,646,332.10
  5. Step 5: Solve for x
    x = 488,646,332.10/25,605
  6. Step 6: Final answer
    x = 19,084.02

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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.