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Finding the Fourth Proportional to 2,577, 3,556.67 and 1,528.86

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Solution

The fourth proportional to 2,577, 3,556.67 and 1,528.86 is: 2,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577 : 3,556.67 = 1,528.86 : x
  2. Step 2: Convert to fraction form
    2,577/3,556.67 = 1,528.86/x
  3. Step 3: Cross multiply
    2,577x = 3,556.67 × 1,528.86
  4. Step 4: Simplify right side
    2,577x = 5,437,642.85
  5. Step 5: Solve for x
    x = 5,437,642.85/2,577
  6. Step 6: Final answer
    x = 2,110.07

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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.