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Finding the Fourth Proportional to 6,543.00, 9,029.27 and 3,890.35

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Solution

The fourth proportional to 6,543.00, 9,029.27 and 3,890.35 is: 5,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.00 : 9,029.27 = 3,890.35 : x
  2. Step 2: Convert to fraction form
    6,543.00/9,029.27 = 3,890.35/x
  3. Step 3: Cross multiply
    6,543.00x = 9,029.27 × 3,890.35
  4. Step 4: Simplify right side
    6,543.00x = 35,127,066.95
  5. Step 5: Solve for x
    x = 35,127,066.95/6,543.00
  6. Step 6: Final answer
    x = 5,368.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.