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Finding the Fourth Proportional to 9,980.36, 14,970.38 and 2,584.22

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Solution

The fourth proportional to 9,980.36, 14,970.38 and 2,584.22 is: 3,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.36 : 14,970.38 = 2,584.22 : x
  2. Step 2: Convert to fraction form
    9,980.36/14,970.38 = 2,584.22/x
  3. Step 3: Cross multiply
    9,980.36x = 14,970.38 × 2,584.22
  4. Step 4: Simplify right side
    9,980.36x = 38,686,755.40
  5. Step 5: Solve for x
    x = 38,686,755.40/9,980.36
  6. Step 6: Final answer
    x = 3,876.29

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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.