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Finding the Fourth Proportional to 7,840.08, 10,819.11 and 4,303.20

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Solution

The fourth proportional to 7,840.08, 10,819.11 and 4,303.20 is: 5,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.08 : 10,819.11 = 4,303.20 : x
  2. Step 2: Convert to fraction form
    7,840.08/10,819.11 = 4,303.20/x
  3. Step 3: Cross multiply
    7,840.08x = 10,819.11 × 4,303.20
  4. Step 4: Simplify right side
    7,840.08x = 46,556,794.15
  5. Step 5: Solve for x
    x = 46,556,794.15/7,840.08
  6. Step 6: Final answer
    x = 5,938.31

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Half scale
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Double scale
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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.