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Finding the Fourth Proportional to 2,415, 3,331.44 and 1,420.20

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Solution

The fourth proportional to 2,415, 3,331.44 and 1,420.20 is: 1,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415 : 3,331.44 = 1,420.20 : x
  2. Step 2: Convert to fraction form
    2,415/3,331.44 = 1,420.20/x
  3. Step 3: Cross multiply
    2,415x = 3,331.44 × 1,420.20
  4. Step 4: Simplify right side
    2,415x = 4,731,311.09
  5. Step 5: Solve for x
    x = 4,731,311.09/2,415
  6. Step 6: Final answer
    x = 1,959.14

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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.