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Finding the Fourth Proportional to 15,779.74, 23,684.19 and 7,994.02

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Solution

The fourth proportional to 15,779.74, 23,684.19 and 7,994.02 is: 11,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779.74 : 23,684.19 = 7,994.02 : x
  2. Step 2: Convert to fraction form
    15,779.74/23,684.19 = 7,994.02/x
  3. Step 3: Cross multiply
    15,779.74x = 23,684.19 × 7,994.02
  4. Step 4: Simplify right side
    15,779.74x = 189,331,888.54
  5. Step 5: Solve for x
    x = 189,331,888.54/15,779.74
  6. Step 6: Final answer
    x = 11,998.42

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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.