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Finding the Fourth Proportional to 2,875.86, 3,968.50 and 1,680.70

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Solution

The fourth proportional to 2,875.86, 3,968.50 and 1,680.70 is: 2,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.86 : 3,968.50 = 1,680.70 : x
  2. Step 2: Convert to fraction form
    2,875.86/3,968.50 = 1,680.70/x
  3. Step 3: Cross multiply
    2,875.86x = 3,968.50 × 1,680.70
  4. Step 4: Simplify right side
    2,875.86x = 6,669,857.95
  5. Step 5: Solve for x
    x = 6,669,857.95/2,875.86
  6. Step 6: Final answer
    x = 2,319.26

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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.