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Finding the Fourth Proportional to 6,520, 9,781.64 and 1,903

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Solution

The fourth proportional to 6,520, 9,781.64 and 1,903 is: 2,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520 : 9,781.64 = 1,903 : x
  2. Step 2: Convert to fraction form
    6,520/9,781.64 = 1,903/x
  3. Step 3: Cross multiply
    6,520x = 9,781.64 × 1,903
  4. Step 4: Simplify right side
    6,520x = 18,614,460.92
  5. Step 5: Solve for x
    x = 18,614,460.92/6,520
  6. Step 6: Final answer
    x = 2,854.98

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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.