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Finding the Fourth Proportional to 7,012.40, 9,669.12 and 5,223.02

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Solution

The fourth proportional to 7,012.40, 9,669.12 and 5,223.02 is: 7,201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.40 : 9,669.12 = 5,223.02 : x
  2. Step 2: Convert to fraction form
    7,012.40/9,669.12 = 5,223.02/x
  3. Step 3: Cross multiply
    7,012.40x = 9,669.12 × 5,223.02
  4. Step 4: Simplify right side
    7,012.40x = 50,502,007.14
  5. Step 5: Solve for x
    x = 50,502,007.14/7,012.40
  6. Step 6: Final answer
    x = 7,201.81

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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.