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Finding the Fourth Proportional to 7,574.01, 11,356.50 and 3,128.22

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Solution

The fourth proportional to 7,574.01, 11,356.50 and 3,128.22 is: 4,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.01 : 11,356.50 = 3,128.22 : x
  2. Step 2: Convert to fraction form
    7,574.01/11,356.50 = 3,128.22/x
  3. Step 3: Cross multiply
    7,574.01x = 11,356.50 × 3,128.22
  4. Step 4: Simplify right side
    7,574.01x = 35,525,642.16
  5. Step 5: Solve for x
    x = 35,525,642.16/7,574.01
  6. Step 6: Final answer
    x = 4,690.47

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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.