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Finding the Fourth Proportional to 9,624.75, 13,281.26 and 5,645.10

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Solution

The fourth proportional to 9,624.75, 13,281.26 and 5,645.10 is: 7,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.75 : 13,281.26 = 5,645.10 : x
  2. Step 2: Convert to fraction form
    9,624.75/13,281.26 = 5,645.10/x
  3. Step 3: Cross multiply
    9,624.75x = 13,281.26 × 5,645.10
  4. Step 4: Simplify right side
    9,624.75x = 74,974,012.60
  5. Step 5: Solve for x
    x = 74,974,012.60/9,624.75
  6. Step 6: Final answer
    x = 7,789.71

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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.