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Finding the Fourth Proportional to 18,462, 25,477.84 and 10,078.52

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Solution

The fourth proportional to 18,462, 25,477.84 and 10,078.52 is: 13,908.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462 : 25,477.84 = 10,078.52 : x
  2. Step 2: Convert to fraction form
    18,462/25,477.84 = 10,078.52/x
  3. Step 3: Cross multiply
    18,462x = 25,477.84 × 10,078.52
  4. Step 4: Simplify right side
    18,462x = 256,778,920.00
  5. Step 5: Solve for x
    x = 256,778,920.00/18,462
  6. Step 6: Final answer
    x = 13,908.51

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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.