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Finding the Fourth Proportional to 3,165.84, 4,748.92 and 857.36

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Solution

The fourth proportional to 3,165.84, 4,748.92 and 857.36 is: 1,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.84 : 4,748.92 = 857.36 : x
  2. Step 2: Convert to fraction form
    3,165.84/4,748.92 = 857.36/x
  3. Step 3: Cross multiply
    3,165.84x = 4,748.92 × 857.36
  4. Step 4: Simplify right side
    3,165.84x = 4,071,534.05
  5. Step 5: Solve for x
    x = 4,071,534.05/3,165.84
  6. Step 6: Final answer
    x = 1,286.08

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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.