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Finding the Fourth Proportional to 6,938.54, 9,575.21 and 3,954.50

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Solution

The fourth proportional to 6,938.54, 9,575.21 and 3,954.50 is: 5,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.54 : 9,575.21 = 3,954.50 : x
  2. Step 2: Convert to fraction form
    6,938.54/9,575.21 = 3,954.50/x
  3. Step 3: Cross multiply
    6,938.54x = 9,575.21 × 3,954.50
  4. Step 4: Simplify right side
    6,938.54x = 37,865,172.11
  5. Step 5: Solve for x
    x = 37,865,172.11/6,938.54
  6. Step 6: Final answer
    x = 5,457.22

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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.