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Finding the Fourth Proportional to 3,804.64, 5,252.16 and 2,409.28

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Solution

The fourth proportional to 3,804.64, 5,252.16 and 2,409.28 is: 3,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.64 : 5,252.16 = 2,409.28 : x
  2. Step 2: Convert to fraction form
    3,804.64/5,252.16 = 2,409.28/x
  3. Step 3: Cross multiply
    3,804.64x = 5,252.16 × 2,409.28
  4. Step 4: Simplify right side
    3,804.64x = 12,653,924.04
  5. Step 5: Solve for x
    x = 12,653,924.04/3,804.64
  6. Step 6: Final answer
    x = 3,325.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.