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Finding the Fourth Proportional to 2,992.70, 4,130.87 and 1,798.56

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Solution

The fourth proportional to 2,992.70, 4,130.87 and 1,798.56 is: 2,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.70 : 4,130.87 = 1,798.56 : x
  2. Step 2: Convert to fraction form
    2,992.70/4,130.87 = 1,798.56/x
  3. Step 3: Cross multiply
    2,992.70x = 4,130.87 × 1,798.56
  4. Step 4: Simplify right side
    2,992.70x = 7,429,608.55
  5. Step 5: Solve for x
    x = 7,429,608.55/2,992.70
  6. Step 6: Final answer
    x = 2,482.58

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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.