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Finding the Fourth Proportional to 7,110.50, 9,817.32 and 4,598.68

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Solution

The fourth proportional to 7,110.50, 9,817.32 and 4,598.68 is: 6,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.50 : 9,817.32 = 4,598.68 : x
  2. Step 2: Convert to fraction form
    7,110.50/9,817.32 = 4,598.68/x
  3. Step 3: Cross multiply
    7,110.50x = 9,817.32 × 4,598.68
  4. Step 4: Simplify right side
    7,110.50x = 45,146,713.14
  5. Step 5: Solve for x
    x = 45,146,713.14/7,110.50
  6. Step 6: Final answer
    x = 6,349.30

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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.