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Finding the Fourth Proportional to 8,303.70, 11,459 and 5,475.18

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Solution

The fourth proportional to 8,303.70, 11,459 and 5,475.18 is: 7,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.70 : 11,459 = 5,475.18 : x
  2. Step 2: Convert to fraction form
    8,303.70/11,459 = 5,475.18/x
  3. Step 3: Cross multiply
    8,303.70x = 11,459 × 5,475.18
  4. Step 4: Simplify right side
    8,303.70x = 62,740,087.62
  5. Step 5: Solve for x
    x = 62,740,087.62/8,303.70
  6. Step 6: Final answer
    x = 7,555.68

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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.