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Finding the Fourth Proportional to 8,378.96, 11,559.72 and 5,394.38

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Solution

The fourth proportional to 8,378.96, 11,559.72 and 5,394.38 is: 7,442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.96 : 11,559.72 = 5,394.38 : x
  2. Step 2: Convert to fraction form
    8,378.96/11,559.72 = 5,394.38/x
  3. Step 3: Cross multiply
    8,378.96x = 11,559.72 × 5,394.38
  4. Step 4: Simplify right side
    8,378.96x = 62,357,522.37
  5. Step 5: Solve for x
    x = 62,357,522.37/8,378.96
  6. Step 6: Final answer
    x = 7,442.16

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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.