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Finding the Fourth Proportional to 25,256, 34,854.36 and 14,078

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Solution

The fourth proportional to 25,256, 34,854.36 and 14,078 is: 19,428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,256 : 34,854.36 = 14,078 : x
  2. Step 2: Convert to fraction form
    25,256/34,854.36 = 14,078/x
  3. Step 3: Cross multiply
    25,256x = 34,854.36 × 14,078
  4. Step 4: Simplify right side
    25,256x = 490,679,680.08
  5. Step 5: Solve for x
    x = 490,679,680.08/25,256
  6. Step 6: Final answer
    x = 19,428.24

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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.