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Finding the Fourth Proportional to 4,661.68, 6,435.12 and 3,485.20

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Solution

The fourth proportional to 4,661.68, 6,435.12 and 3,485.20 is: 4,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.68 : 6,435.12 = 3,485.20 : x
  2. Step 2: Convert to fraction form
    4,661.68/6,435.12 = 3,485.20/x
  3. Step 3: Cross multiply
    4,661.68x = 6,435.12 × 3,485.20
  4. Step 4: Simplify right side
    4,661.68x = 22,427,680.22
  5. Step 5: Solve for x
    x = 22,427,680.22/4,661.68
  6. Step 6: Final answer
    x = 4,811.07

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1.5x scale

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.