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Finding the Fourth Proportional to 5,629.65, 7,770.00 and 3,712.10

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Solution

The fourth proportional to 5,629.65, 7,770.00 and 3,712.10 is: 5,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.65 : 7,770.00 = 3,712.10 : x
  2. Step 2: Convert to fraction form
    5,629.65/7,770.00 = 3,712.10/x
  3. Step 3: Cross multiply
    5,629.65x = 7,770.00 × 3,712.10
  4. Step 4: Simplify right side
    5,629.65x = 28,842,998.44
  5. Step 5: Solve for x
    x = 28,842,998.44/5,629.65
  6. Step 6: Final answer
    x = 5,123.41

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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.