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Finding the Fourth Proportional to 9,742.70, 13,445.07 and 5,550.86

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Solution

The fourth proportional to 9,742.70, 13,445.07 and 5,550.86 is: 7,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.70 : 13,445.07 = 5,550.86 : x
  2. Step 2: Convert to fraction form
    9,742.70/13,445.07 = 5,550.86/x
  3. Step 3: Cross multiply
    9,742.70x = 13,445.07 × 5,550.86
  4. Step 4: Simplify right side
    9,742.70x = 74,631,701.26
  5. Step 5: Solve for x
    x = 74,631,701.26/9,742.70
  6. Step 6: Final answer
    x = 7,660.27

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