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Finding the Fourth Proportional to 25,669, 35,423.22 and 14,491

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Solution

The fourth proportional to 25,669, 35,423.22 and 14,491 is: 19,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,669 : 35,423.22 = 14,491 : x
  2. Step 2: Convert to fraction form
    25,669/35,423.22 = 14,491/x
  3. Step 3: Cross multiply
    25,669x = 35,423.22 × 14,491
  4. Step 4: Simplify right side
    25,669x = 513,317,881.02
  5. Step 5: Solve for x
    x = 513,317,881.02/25,669
  6. Step 6: Final answer
    x = 19,997.58

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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.