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Finding the Fourth Proportional to 2,902.20, 4,004.20 and 1,782.88

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Solution

The fourth proportional to 2,902.20, 4,004.20 and 1,782.88 is: 2,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.20 : 4,004.20 = 1,782.88 : x
  2. Step 2: Convert to fraction form
    2,902.20/4,004.20 = 1,782.88/x
  3. Step 3: Cross multiply
    2,902.20x = 4,004.20 × 1,782.88
  4. Step 4: Simplify right side
    2,902.20x = 7,139,008.10
  5. Step 5: Solve for x
    x = 7,139,008.10/2,902.20
  6. Step 6: Final answer
    x = 2,459.86

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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.