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Finding the Fourth Proportional to 4,276.70, 6,410.95 and 1,353.00

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Solution

The fourth proportional to 4,276.70, 6,410.95 and 1,353.00 is: 2,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.70 : 6,410.95 = 1,353.00 : x
  2. Step 2: Convert to fraction form
    4,276.70/6,410.95 = 1,353.00/x
  3. Step 3: Cross multiply
    4,276.70x = 6,410.95 × 1,353.00
  4. Step 4: Simplify right side
    4,276.70x = 8,674,036.01
  5. Step 5: Solve for x
    x = 8,674,036.01/4,276.70
  6. Step 6: Final answer
    x = 2,028.21

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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.