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Finding the Fourth Proportional to 14,696.32, 20,280.80 and 7,982.12

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Solution

The fourth proportional to 14,696.32, 20,280.80 and 7,982.12 is: 11,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.32 : 20,280.80 = 7,982.12 : x
  2. Step 2: Convert to fraction form
    14,696.32/20,280.80 = 7,982.12/x
  3. Step 3: Cross multiply
    14,696.32x = 20,280.80 × 7,982.12
  4. Step 4: Simplify right side
    14,696.32x = 161,883,779.30
  5. Step 5: Solve for x
    x = 161,883,779.30/14,696.32
  6. Step 6: Final answer
    x = 11,015.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.