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Finding the Fourth Proportional to 6,477.74, 8,945.80 and 5,078.06

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Solution

The fourth proportional to 6,477.74, 8,945.80 and 5,078.06 is: 7,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.74 : 8,945.80 = 5,078.06 : x
  2. Step 2: Convert to fraction form
    6,477.74/8,945.80 = 5,078.06/x
  3. Step 3: Cross multiply
    6,477.74x = 8,945.80 × 5,078.06
  4. Step 4: Simplify right side
    6,477.74x = 45,427,251.72
  5. Step 5: Solve for x
    x = 45,427,251.72/6,477.74
  6. Step 6: Final answer
    x = 7,012.83

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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.