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Finding the Fourth Proportional to 12,352, 18,529.92 and 4,145.92

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Solution

The fourth proportional to 12,352, 18,529.92 and 4,145.92 is: 6,219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352 : 18,529.92 = 4,145.92 : x
  2. Step 2: Convert to fraction form
    12,352/18,529.92 = 4,145.92/x
  3. Step 3: Cross multiply
    12,352x = 18,529.92 × 4,145.92
  4. Step 4: Simplify right side
    12,352x = 76,823,565.93
  5. Step 5: Solve for x
    x = 76,823,565.93/12,352
  6. Step 6: Final answer
    x = 6,219.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.