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Finding the Fourth Proportional to 1,613.99, 2,222.84 and 1,530.56

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Solution

The fourth proportional to 1,613.99, 2,222.84 and 1,530.56 is: 2,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.99 : 2,222.84 = 1,530.56 : x
  2. Step 2: Convert to fraction form
    1,613.99/2,222.84 = 1,530.56/x
  3. Step 3: Cross multiply
    1,613.99x = 2,222.84 × 1,530.56
  4. Step 4: Simplify right side
    1,613.99x = 3,402,199.37
  5. Step 5: Solve for x
    x = 3,402,199.37/1,613.99
  6. Step 6: Final answer
    x = 2,107.94

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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.