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Finding the Fourth Proportional to 5,370.40, 8,051.28 and 4,938.40

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Solution

The fourth proportional to 5,370.40, 8,051.28 and 4,938.40 is: 7,403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.40 : 8,051.28 = 4,938.40 : x
  2. Step 2: Convert to fraction form
    5,370.40/8,051.28 = 4,938.40/x
  3. Step 3: Cross multiply
    5,370.40x = 8,051.28 × 4,938.40
  4. Step 4: Simplify right side
    5,370.40x = 39,760,441.15
  5. Step 5: Solve for x
    x = 39,760,441.15/5,370.40
  6. Step 6: Final answer
    x = 7,403.63

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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.