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Finding the Fourth Proportional to 4,678.56, 6,454.56 and 2,907

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Solution

The fourth proportional to 4,678.56, 6,454.56 and 2,907 is: 4,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.56 : 6,454.56 = 2,907 : x
  2. Step 2: Convert to fraction form
    4,678.56/6,454.56 = 2,907/x
  3. Step 3: Cross multiply
    4,678.56x = 6,454.56 × 2,907
  4. Step 4: Simplify right side
    4,678.56x = 18,763,405.92
  5. Step 5: Solve for x
    x = 18,763,405.92/4,678.56
  6. Step 6: Final answer
    x = 4,010.51

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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.