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Finding the Fourth Proportional to 5,705.80, 7,878.09 and 4,508.98

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Solution

The fourth proportional to 5,705.80, 7,878.09 and 4,508.98 is: 6,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.80 : 7,878.09 = 4,508.98 : x
  2. Step 2: Convert to fraction form
    5,705.80/7,878.09 = 4,508.98/x
  3. Step 3: Cross multiply
    5,705.80x = 7,878.09 × 4,508.98
  4. Step 4: Simplify right side
    5,705.80x = 35,522,150.25
  5. Step 5: Solve for x
    x = 35,522,150.25/5,705.80
  6. Step 6: Final answer
    x = 6,225.62

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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.