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Finding the Fourth Proportional to 5,666.81, 7,820.69 and 3,309.71

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Solution

The fourth proportional to 5,666.81, 7,820.69 and 3,309.71 is: 4,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.81 : 7,820.69 = 3,309.71 : x
  2. Step 2: Convert to fraction form
    5,666.81/7,820.69 = 3,309.71/x
  3. Step 3: Cross multiply
    5,666.81x = 7,820.69 × 3,309.71
  4. Step 4: Simplify right side
    5,666.81x = 25,884,160.25
  5. Step 5: Solve for x
    x = 25,884,160.25/5,666.81
  6. Step 6: Final answer
    x = 4,567.68

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1.5x scale

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.