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Finding the Fourth Proportional to 5,348.86, 8,021.32 and 1,837.87

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Solution

The fourth proportional to 5,348.86, 8,021.32 and 1,837.87 is: 2,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.86 : 8,021.32 = 1,837.87 : x
  2. Step 2: Convert to fraction form
    5,348.86/8,021.32 = 1,837.87/x
  3. Step 3: Cross multiply
    5,348.86x = 8,021.32 × 1,837.87
  4. Step 4: Simplify right side
    5,348.86x = 14,742,139.07
  5. Step 5: Solve for x
    x = 14,742,139.07/5,348.86
  6. Step 6: Final answer
    x = 2,756.13

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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.