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Finding the Fourth Proportional to 5,666.72, 7,820.02 and 3,309.22

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Solution

The fourth proportional to 5,666.72, 7,820.02 and 3,309.22 is: 4,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.72 : 7,820.02 = 3,309.22 : x
  2. Step 2: Convert to fraction form
    5,666.72/7,820.02 = 3,309.22/x
  3. Step 3: Cross multiply
    5,666.72x = 7,820.02 × 3,309.22
  4. Step 4: Simplify right side
    5,666.72x = 25,878,166.58
  5. Step 5: Solve for x
    x = 25,878,166.58/5,666.72
  6. Step 6: Final answer
    x = 4,566.69

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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.