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Finding the Fourth Proportional to 8,572.54, 11,829.74 and 5,389.11

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Solution

The fourth proportional to 8,572.54, 11,829.74 and 5,389.11 is: 7,436.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.54 : 11,829.74 = 5,389.11 : x
  2. Step 2: Convert to fraction form
    8,572.54/11,829.74 = 5,389.11/x
  3. Step 3: Cross multiply
    8,572.54x = 11,829.74 × 5,389.11
  4. Step 4: Simplify right side
    8,572.54x = 63,751,770.13
  5. Step 5: Solve for x
    x = 63,751,770.13/8,572.54
  6. Step 6: Final answer
    x = 7,436.74

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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.