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Finding the Fourth Proportional to 9,480.65, 13,083.30 and 5,288.90

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Solution

The fourth proportional to 9,480.65, 13,083.30 and 5,288.90 is: 7,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.65 : 13,083.30 = 5,288.90 : x
  2. Step 2: Convert to fraction form
    9,480.65/13,083.30 = 5,288.90/x
  3. Step 3: Cross multiply
    9,480.65x = 13,083.30 × 5,288.90
  4. Step 4: Simplify right side
    9,480.65x = 69,196,199.95
  5. Step 5: Solve for x
    x = 69,196,199.95/9,480.65
  6. Step 6: Final answer
    x = 7,298.68

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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.