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Finding the Fourth Proportional to 15,135.61, 22,703.22 and 6,809.74

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Solution

The fourth proportional to 15,135.61, 22,703.22 and 6,809.74 is: 10,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.61 : 22,703.22 = 6,809.74 : x
  2. Step 2: Convert to fraction form
    15,135.61/22,703.22 = 6,809.74/x
  3. Step 3: Cross multiply
    15,135.61x = 22,703.22 × 6,809.74
  4. Step 4: Simplify right side
    15,135.61x = 154,603,025.36
  5. Step 5: Solve for x
    x = 154,603,025.36/15,135.61
  6. Step 6: Final answer
    x = 10,214.52

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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.