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Finding the Fourth Proportional to 2,775.70, 4,162.95 and 1,215.70

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Solution

The fourth proportional to 2,775.70, 4,162.95 and 1,215.70 is: 1,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.70 : 4,162.95 = 1,215.70 : x
  2. Step 2: Convert to fraction form
    2,775.70/4,162.95 = 1,215.70/x
  3. Step 3: Cross multiply
    2,775.70x = 4,162.95 × 1,215.70
  4. Step 4: Simplify right side
    2,775.70x = 5,060,898.32
  5. Step 5: Solve for x
    x = 5,060,898.32/2,775.70
  6. Step 6: Final answer
    x = 1,823.29

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1.5x scale

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.