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Finding the Fourth Proportional to 2,775.68, 3,830.01 and 1,580.72

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Solution

The fourth proportional to 2,775.68, 3,830.01 and 1,580.72 is: 2,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.68 : 3,830.01 = 1,580.72 : x
  2. Step 2: Convert to fraction form
    2,775.68/3,830.01 = 1,580.72/x
  3. Step 3: Cross multiply
    2,775.68x = 3,830.01 × 1,580.72
  4. Step 4: Simplify right side
    2,775.68x = 6,054,157.22
  5. Step 5: Solve for x
    x = 6,054,157.22/2,775.68
  6. Step 6: Final answer
    x = 2,181.14

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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.