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Finding the Fourth Proportional to 9,054, 13,572.50 and 8,242.38

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Solution

The fourth proportional to 9,054, 13,572.50 and 8,242.38 is: 12,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054 : 13,572.50 = 8,242.38 : x
  2. Step 2: Convert to fraction form
    9,054/13,572.50 = 8,242.38/x
  3. Step 3: Cross multiply
    9,054x = 13,572.50 × 8,242.38
  4. Step 4: Simplify right side
    9,054x = 111,869,661.34
  5. Step 5: Solve for x
    x = 111,869,661.34/9,054
  6. Step 6: Final answer
    x = 12,355.83

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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.