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Finding the Fourth Proportional to 10,161, 14,021.28 and 5,683.32

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Solution

The fourth proportional to 10,161, 14,021.28 and 5,683.32 is: 7,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161 : 14,021.28 = 5,683.32 : x
  2. Step 2: Convert to fraction form
    10,161/14,021.28 = 5,683.32/x
  3. Step 3: Cross multiply
    10,161x = 14,021.28 × 5,683.32
  4. Step 4: Simplify right side
    10,161x = 79,687,421.05
  5. Step 5: Solve for x
    x = 79,687,421.05/10,161
  6. Step 6: Final answer
    x = 7,842.48

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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.