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Finding the Fourth Proportional to 5,339.89, 8,011.10 and 1,830.07

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Solution

The fourth proportional to 5,339.89, 8,011.10 and 1,830.07 is: 2,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.89 : 8,011.10 = 1,830.07 : x
  2. Step 2: Convert to fraction form
    5,339.89/8,011.10 = 1,830.07/x
  3. Step 3: Cross multiply
    5,339.89x = 8,011.10 × 1,830.07
  4. Step 4: Simplify right side
    5,339.89x = 14,660,864.63
  5. Step 5: Solve for x
    x = 14,660,864.63/5,339.89
  6. Step 6: Final answer
    x = 2,745.54

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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.