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Finding the Fourth Proportional to 2,808.66, 4,210.43 and 1,765.50

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Solution

The fourth proportional to 2,808.66, 4,210.43 and 1,765.50 is: 2,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.66 : 4,210.43 = 1,765.50 : x
  2. Step 2: Convert to fraction form
    2,808.66/4,210.43 = 1,765.50/x
  3. Step 3: Cross multiply
    2,808.66x = 4,210.43 × 1,765.50
  4. Step 4: Simplify right side
    2,808.66x = 7,433,518.58
  5. Step 5: Solve for x
    x = 7,433,518.58/2,808.66
  6. Step 6: Final answer
    x = 2,646.64

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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.