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Finding the Fourth Proportional to 7,779.72, 10,735.78 and 4,243

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Solution

The fourth proportional to 7,779.72, 10,735.78 and 4,243 is: 5,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.72 : 10,735.78 = 4,243 : x
  2. Step 2: Convert to fraction form
    7,779.72/10,735.78 = 4,243/x
  3. Step 3: Cross multiply
    7,779.72x = 10,735.78 × 4,243
  4. Step 4: Simplify right side
    7,779.72x = 45,551,914.54
  5. Step 5: Solve for x
    x = 45,551,914.54/7,779.72
  6. Step 6: Final answer
    x = 5,855.21

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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.