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Finding the Fourth Proportional to 6,485.52, 9,728.10 and 2,101.80

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Solution

The fourth proportional to 6,485.52, 9,728.10 and 2,101.80 is: 3,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.52 : 9,728.10 = 2,101.80 : x
  2. Step 2: Convert to fraction form
    6,485.52/9,728.10 = 2,101.80/x
  3. Step 3: Cross multiply
    6,485.52x = 9,728.10 × 2,101.80
  4. Step 4: Simplify right side
    6,485.52x = 20,446,520.58
  5. Step 5: Solve for x
    x = 20,446,520.58/6,485.52
  6. Step 6: Final answer
    x = 3,152.64

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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.