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Finding the Fourth Proportional to 2,671.83, 3,688.74 and 1,728.06

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Solution

The fourth proportional to 2,671.83, 3,688.74 and 1,728.06 is: 2,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.83 : 3,688.74 = 1,728.06 : x
  2. Step 2: Convert to fraction form
    2,671.83/3,688.74 = 1,728.06/x
  3. Step 3: Cross multiply
    2,671.83x = 3,688.74 × 1,728.06
  4. Step 4: Simplify right side
    2,671.83x = 6,374,364.04
  5. Step 5: Solve for x
    x = 6,374,364.04/2,671.83
  6. Step 6: Final answer
    x = 2,385.77

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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.