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Finding the Fourth Proportional to 9,781.81, 14,669.64 and 3,206.46

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Solution

The fourth proportional to 9,781.81, 14,669.64 and 3,206.46 is: 4,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.81 : 14,669.64 = 3,206.46 : x
  2. Step 2: Convert to fraction form
    9,781.81/14,669.64 = 3,206.46/x
  3. Step 3: Cross multiply
    9,781.81x = 14,669.64 × 3,206.46
  4. Step 4: Simplify right side
    9,781.81x = 47,037,641.15
  5. Step 5: Solve for x
    x = 47,037,641.15/9,781.81
  6. Step 6: Final answer
    x = 4,808.68

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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.