Home / 2,122.28-2,929.75-1,415.30

Finding the Fourth Proportional to 2,122.28, 2,929.75 and 1,415.30

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Solution

The fourth proportional to 2,122.28, 2,929.75 and 1,415.30 is: 1,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.28 : 2,929.75 = 1,415.30 : x
  2. Step 2: Convert to fraction form
    2,122.28/2,929.75 = 1,415.30/x
  3. Step 3: Cross multiply
    2,122.28x = 2,929.75 × 1,415.30
  4. Step 4: Simplify right side
    2,122.28x = 4,146,475.18
  5. Step 5: Solve for x
    x = 4,146,475.18/2,122.28
  6. Step 6: Final answer
    x = 1,953.78

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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.