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Finding the Fourth Proportional to 3,498.89, 5,242.85 and 1,854.99

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Solution

The fourth proportional to 3,498.89, 5,242.85 and 1,854.99 is: 2,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.89 : 5,242.85 = 1,854.99 : x
  2. Step 2: Convert to fraction form
    3,498.89/5,242.85 = 1,854.99/x
  3. Step 3: Cross multiply
    3,498.89x = 5,242.85 × 1,854.99
  4. Step 4: Simplify right side
    3,498.89x = 9,725,425.05
  5. Step 5: Solve for x
    x = 9,725,425.05/3,498.89
  6. Step 6: Final answer
    x = 2,779.58

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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.