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Finding the Fourth Proportional to 6,444, 9,667.80 and 1,827

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Solution

The fourth proportional to 6,444, 9,667.80 and 1,827 is: 2,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444 : 9,667.80 = 1,827 : x
  2. Step 2: Convert to fraction form
    6,444/9,667.80 = 1,827/x
  3. Step 3: Cross multiply
    6,444x = 9,667.80 × 1,827
  4. Step 4: Simplify right side
    6,444x = 17,663,070.60
  5. Step 5: Solve for x
    x = 17,663,070.60/6,444
  6. Step 6: Final answer
    x = 2,741.01

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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.