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Finding the Fourth Proportional to 4,182.64, 6,274.20 and 1,409.20

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Solution

The fourth proportional to 4,182.64, 6,274.20 and 1,409.20 is: 2,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.64 : 6,274.20 = 1,409.20 : x
  2. Step 2: Convert to fraction form
    4,182.64/6,274.20 = 1,409.20/x
  3. Step 3: Cross multiply
    4,182.64x = 6,274.20 × 1,409.20
  4. Step 4: Simplify right side
    4,182.64x = 8,841,602.64
  5. Step 5: Solve for x
    x = 8,841,602.64/4,182.64
  6. Step 6: Final answer
    x = 2,113.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.