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Finding the Fourth Proportional to 6,554.16, 9,821.64 and 3,781.68

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Solution

The fourth proportional to 6,554.16, 9,821.64 and 3,781.68 is: 5,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.16 : 9,821.64 = 3,781.68 : x
  2. Step 2: Convert to fraction form
    6,554.16/9,821.64 = 3,781.68/x
  3. Step 3: Cross multiply
    6,554.16x = 9,821.64 × 3,781.68
  4. Step 4: Simplify right side
    6,554.16x = 37,142,299.56
  5. Step 5: Solve for x
    x = 37,142,299.56/6,554.16
  6. Step 6: Final answer
    x = 5,666.98

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1.5x scale

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.