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Finding the Fourth Proportional to 6,477.72, 8,946.60 and 4,378.20

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Solution

The fourth proportional to 6,477.72, 8,946.60 and 4,378.20 is: 6,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.72 : 8,946.60 = 4,378.20 : x
  2. Step 2: Convert to fraction form
    6,477.72/8,946.60 = 4,378.20/x
  3. Step 3: Cross multiply
    6,477.72x = 8,946.60 × 4,378.20
  4. Step 4: Simplify right side
    6,477.72x = 39,170,004.12
  5. Step 5: Solve for x
    x = 39,170,004.12/6,477.72
  6. Step 6: Final answer
    x = 6,046.88

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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.