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Finding the Fourth Proportional to 3,846.63, 5,303.58 and 3,208.86

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Solution

The fourth proportional to 3,846.63, 5,303.58 and 3,208.86 is: 4,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.63 : 5,303.58 = 3,208.86 : x
  2. Step 2: Convert to fraction form
    3,846.63/5,303.58 = 3,208.86/x
  3. Step 3: Cross multiply
    3,846.63x = 5,303.58 × 3,208.86
  4. Step 4: Simplify right side
    3,846.63x = 17,018,445.72
  5. Step 5: Solve for x
    x = 17,018,445.72/3,846.63
  6. Step 6: Final answer
    x = 4,424.25

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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.