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Finding the Fourth Proportional to 5,231.88, 7,848.84 and 1,854.99

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Solution

The fourth proportional to 5,231.88, 7,848.84 and 1,854.99 is: 2,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.88 : 7,848.84 = 1,854.99 : x
  2. Step 2: Convert to fraction form
    5,231.88/7,848.84 = 1,854.99/x
  3. Step 3: Cross multiply
    5,231.88x = 7,848.84 × 1,854.99
  4. Step 4: Simplify right side
    5,231.88x = 14,559,519.71
  5. Step 5: Solve for x
    x = 14,559,519.71/5,231.88
  6. Step 6: Final answer
    x = 2,782.85

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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.