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Finding the Fourth Proportional to 25,578, 35,298.36 and 14,400

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Solution

The fourth proportional to 25,578, 35,298.36 and 14,400 is: 19,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578 : 35,298.36 = 14,400 : x
  2. Step 2: Convert to fraction form
    25,578/35,298.36 = 14,400/x
  3. Step 3: Cross multiply
    25,578x = 35,298.36 × 14,400
  4. Step 4: Simplify right side
    25,578x = 508,296,384
  5. Step 5: Solve for x
    x = 508,296,384/25,578
  6. Step 6: Final answer
    x = 19,872.41

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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.