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Finding the Fourth Proportional to 7,602.78, 11,409.28 and 5,724.68

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Solution

The fourth proportional to 7,602.78, 11,409.28 and 5,724.68 is: 8,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.78 : 11,409.28 = 5,724.68 : x
  2. Step 2: Convert to fraction form
    7,602.78/11,409.28 = 5,724.68/x
  3. Step 3: Cross multiply
    7,602.78x = 11,409.28 × 5,724.68
  4. Step 4: Simplify right side
    7,602.78x = 65,314,477.03
  5. Step 5: Solve for x
    x = 65,314,477.03/7,602.78
  6. Step 6: Final answer
    x = 8,590.87

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1.5x scale

Why These Related Problems?

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