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Finding the Fourth Proportional to 3,384.84, 4,671.12 and 1,892.77

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Solution

The fourth proportional to 3,384.84, 4,671.12 and 1,892.77 is: 2,612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.84 : 4,671.12 = 1,892.77 : x
  2. Step 2: Convert to fraction form
    3,384.84/4,671.12 = 1,892.77/x
  3. Step 3: Cross multiply
    3,384.84x = 4,671.12 × 1,892.77
  4. Step 4: Simplify right side
    3,384.84x = 8,841,322.98
  5. Step 5: Solve for x
    x = 8,841,322.98/3,384.84
  6. Step 6: Final answer
    x = 2,612.04

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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.