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Finding the Fourth Proportional to 3,503.85, 5,254.74 and 1,859.51

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Solution

The fourth proportional to 3,503.85, 5,254.74 and 1,859.51 is: 2,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.85 : 5,254.74 = 1,859.51 : x
  2. Step 2: Convert to fraction form
    3,503.85/5,254.74 = 1,859.51/x
  3. Step 3: Cross multiply
    3,503.85x = 5,254.74 × 1,859.51
  4. Step 4: Simplify right side
    3,503.85x = 9,771,254.71
  5. Step 5: Solve for x
    x = 9,771,254.71/3,503.85
  6. Step 6: Final answer
    x = 2,788.72

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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.