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Finding the Fourth Proportional to 7,021.36, 9,693 and 4,369.64

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Solution

The fourth proportional to 7,021.36, 9,693 and 4,369.64 is: 6,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.36 : 9,693 = 4,369.64 : x
  2. Step 2: Convert to fraction form
    7,021.36/9,693 = 4,369.64/x
  3. Step 3: Cross multiply
    7,021.36x = 9,693 × 4,369.64
  4. Step 4: Simplify right side
    7,021.36x = 42,354,920.52
  5. Step 5: Solve for x
    x = 42,354,920.52/7,021.36
  6. Step 6: Final answer
    x = 6,032.30

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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.