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Finding the Fourth Proportional to 9,627.81, 13,285.67 and 6,488.25

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Solution

The fourth proportional to 9,627.81, 13,285.67 and 6,488.25 is: 8,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.81 : 13,285.67 = 6,488.25 : x
  2. Step 2: Convert to fraction form
    9,627.81/13,285.67 = 6,488.25/x
  3. Step 3: Cross multiply
    9,627.81x = 13,285.67 × 6,488.25
  4. Step 4: Simplify right side
    9,627.81x = 86,200,715.94
  5. Step 5: Solve for x
    x = 86,200,715.94/9,627.81
  6. Step 6: Final answer
    x = 8,953.30

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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.