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Finding the Fourth Proportional to 4,875, 6,728.70 and 2,780.34

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Solution

The fourth proportional to 4,875, 6,728.70 and 2,780.34 is: 3,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875 : 6,728.70 = 2,780.34 : x
  2. Step 2: Convert to fraction form
    4,875/6,728.70 = 2,780.34/x
  3. Step 3: Cross multiply
    4,875x = 6,728.70 × 2,780.34
  4. Step 4: Simplify right side
    4,875x = 18,708,073.76
  5. Step 5: Solve for x
    x = 18,708,073.76/4,875
  6. Step 6: Final answer
    x = 3,837.55

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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.