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Finding the Fourth Proportional to 2,303.87, 3,454.99 and 842.63

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Solution

The fourth proportional to 2,303.87, 3,454.99 and 842.63 is: 1,263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.87 : 3,454.99 = 842.63 : x
  2. Step 2: Convert to fraction form
    2,303.87/3,454.99 = 842.63/x
  3. Step 3: Cross multiply
    2,303.87x = 3,454.99 × 842.63
  4. Step 4: Simplify right side
    2,303.87x = 2,911,258.84
  5. Step 5: Solve for x
    x = 2,911,258.84/2,303.87
  6. Step 6: Final answer
    x = 1,263.64

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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.