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Finding the Fourth Proportional to 10,602.36, 15,904.32 and 2,811

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Solution

The fourth proportional to 10,602.36, 15,904.32 and 2,811 is: 4,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.36 : 15,904.32 = 2,811 : x
  2. Step 2: Convert to fraction form
    10,602.36/15,904.32 = 2,811/x
  3. Step 3: Cross multiply
    10,602.36x = 15,904.32 × 2,811
  4. Step 4: Simplify right side
    10,602.36x = 44,707,043.52
  5. Step 5: Solve for x
    x = 44,707,043.52/10,602.36
  6. Step 6: Final answer
    x = 4,216.71

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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.