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Finding the Fourth Proportional to 2,818, 3,889.02 and 1,770.76

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Solution

The fourth proportional to 2,818, 3,889.02 and 1,770.76 is: 2,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818 : 3,889.02 = 1,770.76 : x
  2. Step 2: Convert to fraction form
    2,818/3,889.02 = 1,770.76/x
  3. Step 3: Cross multiply
    2,818x = 3,889.02 × 1,770.76
  4. Step 4: Simplify right side
    2,818x = 6,886,521.06
  5. Step 5: Solve for x
    x = 6,886,521.06/2,818
  6. Step 6: Final answer
    x = 2,443.76

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1.5x scale

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.