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Finding the Fourth Proportional to 9,135.74, 13,693.98 and 5,182.04

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Solution

The fourth proportional to 9,135.74, 13,693.98 and 5,182.04 is: 7,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.74 : 13,693.98 = 5,182.04 : x
  2. Step 2: Convert to fraction form
    9,135.74/13,693.98 = 5,182.04/x
  3. Step 3: Cross multiply
    9,135.74x = 13,693.98 × 5,182.04
  4. Step 4: Simplify right side
    9,135.74x = 70,962,752.12
  5. Step 5: Solve for x
    x = 70,962,752.12/9,135.74
  6. Step 6: Final answer
    x = 7,767.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.