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Finding the Fourth Proportional to 7,409.54, 10,221.72 and 4,574.54

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Solution

The fourth proportional to 7,409.54, 10,221.72 and 4,574.54 is: 6,310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.54 : 10,221.72 = 4,574.54 : x
  2. Step 2: Convert to fraction form
    7,409.54/10,221.72 = 4,574.54/x
  3. Step 3: Cross multiply
    7,409.54x = 10,221.72 × 4,574.54
  4. Step 4: Simplify right side
    7,409.54x = 46,759,667.01
  5. Step 5: Solve for x
    x = 46,759,667.01/7,409.54
  6. Step 6: Final answer
    x = 6,310.74

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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.