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Finding the Fourth Proportional to 14,642.78, 20,206.60 and 8,269.63

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Solution

The fourth proportional to 14,642.78, 20,206.60 and 8,269.63 is: 11,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.78 : 20,206.60 = 8,269.63 : x
  2. Step 2: Convert to fraction form
    14,642.78/20,206.60 = 8,269.63/x
  3. Step 3: Cross multiply
    14,642.78x = 20,206.60 × 8,269.63
  4. Step 4: Simplify right side
    14,642.78x = 167,101,034.37
  5. Step 5: Solve for x
    x = 167,101,034.37/14,642.78
  6. Step 6: Final answer
    x = 11,411.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.