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Finding the Fourth Proportional to 6,420.78, 9,631.07 and 2,038.19

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Solution

The fourth proportional to 6,420.78, 9,631.07 and 2,038.19 is: 3,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.78 : 9,631.07 = 2,038.19 : x
  2. Step 2: Convert to fraction form
    6,420.78/9,631.07 = 2,038.19/x
  3. Step 3: Cross multiply
    6,420.78x = 9,631.07 × 2,038.19
  4. Step 4: Simplify right side
    6,420.78x = 19,629,899.86
  5. Step 5: Solve for x
    x = 19,629,899.86/6,420.78
  6. Step 6: Final answer
    x = 3,057.25

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1.5x scale

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.