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Finding the Fourth Proportional to 15,891.86, 23,838.96 and 4,205

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Solution

The fourth proportional to 15,891.86, 23,838.96 and 4,205 is: 6,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.86 : 23,838.96 = 4,205 : x
  2. Step 2: Convert to fraction form
    15,891.86/23,838.96 = 4,205/x
  3. Step 3: Cross multiply
    15,891.86x = 23,838.96 × 4,205
  4. Step 4: Simplify right side
    15,891.86x = 100,242,826.80
  5. Step 5: Solve for x
    x = 100,242,826.80/15,891.86
  6. Step 6: Final answer
    x = 6,307.81

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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.