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Finding the Fourth Proportional to 3,259.80, 4,886.10 and 1,699.20

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Solution

The fourth proportional to 3,259.80, 4,886.10 and 1,699.20 is: 2,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.80 : 4,886.10 = 1,699.20 : x
  2. Step 2: Convert to fraction form
    3,259.80/4,886.10 = 1,699.20/x
  3. Step 3: Cross multiply
    3,259.80x = 4,886.10 × 1,699.20
  4. Step 4: Simplify right side
    3,259.80x = 8,302,461.12
  5. Step 5: Solve for x
    x = 8,302,461.12/3,259.80
  6. Step 6: Final answer
    x = 2,546.92

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1.5x scale

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.