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Finding the Fourth Proportional to 4,947.32, 7,409.64 and 3,210.68

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Solution

The fourth proportional to 4,947.32, 7,409.64 and 3,210.68 is: 4,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.32 : 7,409.64 = 3,210.68 : x
  2. Step 2: Convert to fraction form
    4,947.32/7,409.64 = 3,210.68/x
  3. Step 3: Cross multiply
    4,947.32x = 7,409.64 × 3,210.68
  4. Step 4: Simplify right side
    4,947.32x = 23,789,982.96
  5. Step 5: Solve for x
    x = 23,789,982.96/4,947.32
  6. Step 6: Final answer
    x = 4,808.66

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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.