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Finding the Fourth Proportional to 25,980.75, 38,977.74 and 7,260.80

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Solution

The fourth proportional to 25,980.75, 38,977.74 and 7,260.80 is: 10,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.75 : 38,977.74 = 7,260.80 : x
  2. Step 2: Convert to fraction form
    25,980.75/38,977.74 = 7,260.80/x
  3. Step 3: Cross multiply
    25,980.75x = 38,977.74 × 7,260.80
  4. Step 4: Simplify right side
    25,980.75x = 283,009,379.70
  5. Step 5: Solve for x
    x = 283,009,379.70/25,980.75
  6. Step 6: Final answer
    x = 10,893.04

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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.