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Finding the Fourth Proportional to 18,642.76, 27,970.29 and 7,558.77

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Solution

The fourth proportional to 18,642.76, 27,970.29 and 7,558.77 is: 11,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.76 : 27,970.29 = 7,558.77 : x
  2. Step 2: Convert to fraction form
    18,642.76/27,970.29 = 7,558.77/x
  3. Step 3: Cross multiply
    18,642.76x = 27,970.29 × 7,558.77
  4. Step 4: Simplify right side
    18,642.76x = 211,420,988.94
  5. Step 5: Solve for x
    x = 211,420,988.94/18,642.76
  6. Step 6: Final answer
    x = 11,340.65

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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.