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Finding the Fourth Proportional to 6,447.81, 9,671.72 and 1,830.81

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Solution

The fourth proportional to 6,447.81, 9,671.72 and 1,830.81 is: 2,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.81 : 9,671.72 = 1,830.81 : x
  2. Step 2: Convert to fraction form
    6,447.81/9,671.72 = 1,830.81/x
  3. Step 3: Cross multiply
    6,447.81x = 9,671.72 × 1,830.81
  4. Step 4: Simplify right side
    6,447.81x = 17,707,081.69
  5. Step 5: Solve for x
    x = 17,707,081.69/6,447.81
  6. Step 6: Final answer
    x = 2,746.22

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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.