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Finding the Fourth Proportional to 7,021.56, 9,681.90 and 5,741.46

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Solution

The fourth proportional to 7,021.56, 9,681.90 and 5,741.46 is: 7,916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.56 : 9,681.90 = 5,741.46 : x
  2. Step 2: Convert to fraction form
    7,021.56/9,681.90 = 5,741.46/x
  3. Step 3: Cross multiply
    7,021.56x = 9,681.90 × 5,741.46
  4. Step 4: Simplify right side
    7,021.56x = 55,588,241.57
  5. Step 5: Solve for x
    x = 55,588,241.57/7,021.56
  6. Step 6: Final answer
    x = 7,916.79

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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.