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Finding the Fourth Proportional to 1,980.52, 2,970.16 and 826

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Solution

The fourth proportional to 1,980.52, 2,970.16 and 826 is: 1,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.52 : 2,970.16 = 826 : x
  2. Step 2: Convert to fraction form
    1,980.52/2,970.16 = 826/x
  3. Step 3: Cross multiply
    1,980.52x = 2,970.16 × 826
  4. Step 4: Simplify right side
    1,980.52x = 2,453,352.16
  5. Step 5: Solve for x
    x = 2,453,352.16/1,980.52
  6. Step 6: Final answer
    x = 1,238.74

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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.