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Finding the Fourth Proportional to 7,022.39, 9,690.73 and 4,038.16

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Solution

The fourth proportional to 7,022.39, 9,690.73 and 4,038.16 is: 5,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.39 : 9,690.73 = 4,038.16 : x
  2. Step 2: Convert to fraction form
    7,022.39/9,690.73 = 4,038.16/x
  3. Step 3: Cross multiply
    7,022.39x = 9,690.73 × 4,038.16
  4. Step 4: Simplify right side
    7,022.39x = 39,132,683.93
  5. Step 5: Solve for x
    x = 39,132,683.93/7,022.39
  6. Step 6: Final answer
    x = 5,572.56

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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.