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Finding the Fourth Proportional to 8,356.86, 12,536.76 and 2,810.76

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Solution

The fourth proportional to 8,356.86, 12,536.76 and 2,810.76 is: 4,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.86 : 12,536.76 = 2,810.76 : x
  2. Step 2: Convert to fraction form
    8,356.86/12,536.76 = 2,810.76/x
  3. Step 3: Cross multiply
    8,356.86x = 12,536.76 × 2,810.76
  4. Step 4: Simplify right side
    8,356.86x = 35,237,823.54
  5. Step 5: Solve for x
    x = 35,237,823.54/8,356.86
  6. Step 6: Final answer
    x = 4,216.63

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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.