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Finding the Fourth Proportional to 2,592.54, 3,890.20 and 1,980.18

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Solution

The fourth proportional to 2,592.54, 3,890.20 and 1,980.18 is: 2,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.54 : 3,890.20 = 1,980.18 : x
  2. Step 2: Convert to fraction form
    2,592.54/3,890.20 = 1,980.18/x
  3. Step 3: Cross multiply
    2,592.54x = 3,890.20 × 1,980.18
  4. Step 4: Simplify right side
    2,592.54x = 7,703,296.24
  5. Step 5: Solve for x
    x = 7,703,296.24/2,592.54
  6. Step 6: Final answer
    x = 2,971.33

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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.