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Finding the Fourth Proportional to 7,805.90, 10,771.96 and 4,782.20

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Solution

The fourth proportional to 7,805.90, 10,771.96 and 4,782.20 is: 6,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.90 : 10,771.96 = 4,782.20 : x
  2. Step 2: Convert to fraction form
    7,805.90/10,771.96 = 4,782.20/x
  3. Step 3: Cross multiply
    7,805.90x = 10,771.96 × 4,782.20
  4. Step 4: Simplify right side
    7,805.90x = 51,513,699.45
  5. Step 5: Solve for x
    x = 51,513,699.45/7,805.90
  6. Step 6: Final answer
    x = 6,599.33

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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.