Home / 7,730.25-11,570.40-4,027.20

Finding the Fourth Proportional to 7,730.25, 11,570.40 and 4,027.20

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Solution

The fourth proportional to 7,730.25, 11,570.40 and 4,027.20 is: 6,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.25 : 11,570.40 = 4,027.20 : x
  2. Step 2: Convert to fraction form
    7,730.25/11,570.40 = 4,027.20/x
  3. Step 3: Cross multiply
    7,730.25x = 11,570.40 × 4,027.20
  4. Step 4: Simplify right side
    7,730.25x = 46,596,314.88
  5. Step 5: Solve for x
    x = 46,596,314.88/7,730.25
  6. Step 6: Final answer
    x = 6,027.79

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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.