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Finding the Fourth Proportional to 6,289.84, 9,430.20 and 2,958.31

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Solution

The fourth proportional to 6,289.84, 9,430.20 and 2,958.31 is: 4,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.84 : 9,430.20 = 2,958.31 : x
  2. Step 2: Convert to fraction form
    6,289.84/9,430.20 = 2,958.31/x
  3. Step 3: Cross multiply
    6,289.84x = 9,430.20 × 2,958.31
  4. Step 4: Simplify right side
    6,289.84x = 27,897,454.96
  5. Step 5: Solve for x
    x = 27,897,454.96/6,289.84
  6. Step 6: Final answer
    x = 4,435.32

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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.