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Finding the Fourth Proportional to 6,430.76, 9,647.20 and 2,213.84

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Solution

The fourth proportional to 6,430.76, 9,647.20 and 2,213.84 is: 3,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.76 : 9,647.20 = 2,213.84 : x
  2. Step 2: Convert to fraction form
    6,430.76/9,647.20 = 2,213.84/x
  3. Step 3: Cross multiply
    6,430.76x = 9,647.20 × 2,213.84
  4. Step 4: Simplify right side
    6,430.76x = 21,357,309.01
  5. Step 5: Solve for x
    x = 21,357,309.01/6,430.76
  6. Step 6: Final answer
    x = 3,321.12

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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.