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Finding the Fourth Proportional to 3,714.94, 5,128.44 and 2,873.74

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Solution

The fourth proportional to 3,714.94, 5,128.44 and 2,873.74 is: 3,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.94 : 5,128.44 = 2,873.74 : x
  2. Step 2: Convert to fraction form
    3,714.94/5,128.44 = 2,873.74/x
  3. Step 3: Cross multiply
    3,714.94x = 5,128.44 × 2,873.74
  4. Step 4: Simplify right side
    3,714.94x = 14,737,803.17
  5. Step 5: Solve for x
    x = 14,737,803.17/3,714.94
  6. Step 6: Final answer
    x = 3,967.17

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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.