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Finding the Fourth Proportional to 7,930.62, 10,948.68 and 5,416.50

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Solution

The fourth proportional to 7,930.62, 10,948.68 and 5,416.50 is: 7,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.62 : 10,948.68 = 5,416.50 : x
  2. Step 2: Convert to fraction form
    7,930.62/10,948.68 = 5,416.50/x
  3. Step 3: Cross multiply
    7,930.62x = 10,948.68 × 5,416.50
  4. Step 4: Simplify right side
    7,930.62x = 59,303,525.22
  5. Step 5: Solve for x
    x = 59,303,525.22/7,930.62
  6. Step 6: Final answer
    x = 7,477.79

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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.