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Finding the Fourth Proportional to 1,980.34, 2,970.48 and 826.09

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Solution

The fourth proportional to 1,980.34, 2,970.48 and 826.09 is: 1,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.34 : 2,970.48 = 826.09 : x
  2. Step 2: Convert to fraction form
    1,980.34/2,970.48 = 826.09/x
  3. Step 3: Cross multiply
    1,980.34x = 2,970.48 × 826.09
  4. Step 4: Simplify right side
    1,980.34x = 2,453,883.82
  5. Step 5: Solve for x
    x = 2,453,883.82/1,980.34
  6. Step 6: Final answer
    x = 1,239.12

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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.