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Finding the Fourth Proportional to 5,165.66, 7,128.66 and 3,069.38

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Solution

The fourth proportional to 5,165.66, 7,128.66 and 3,069.38 is: 4,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.66 : 7,128.66 = 3,069.38 : x
  2. Step 2: Convert to fraction form
    5,165.66/7,128.66 = 3,069.38/x
  3. Step 3: Cross multiply
    5,165.66x = 7,128.66 × 3,069.38
  4. Step 4: Simplify right side
    5,165.66x = 21,880,566.43
  5. Step 5: Solve for x
    x = 21,880,566.43/5,165.66
  6. Step 6: Final answer
    x = 4,235.77

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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.