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Finding the Fourth Proportional to 2,873.76, 4,313.88 and 1,706.28

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Solution

The fourth proportional to 2,873.76, 4,313.88 and 1,706.28 is: 2,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.76 : 4,313.88 = 1,706.28 : x
  2. Step 2: Convert to fraction form
    2,873.76/4,313.88 = 1,706.28/x
  3. Step 3: Cross multiply
    2,873.76x = 4,313.88 × 1,706.28
  4. Step 4: Simplify right side
    2,873.76x = 7,360,687.17
  5. Step 5: Solve for x
    x = 7,360,687.17/2,873.76
  6. Step 6: Final answer
    x = 2,561.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.