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Finding the Fourth Proportional to 9,402.75, 12,975.86 and 5,211

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Solution

The fourth proportional to 9,402.75, 12,975.86 and 5,211 is: 7,191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.75 : 12,975.86 = 5,211 : x
  2. Step 2: Convert to fraction form
    9,402.75/12,975.86 = 5,211/x
  3. Step 3: Cross multiply
    9,402.75x = 12,975.86 × 5,211
  4. Step 4: Simplify right side
    9,402.75x = 67,617,219.49
  5. Step 5: Solve for x
    x = 67,617,219.49/9,402.75
  6. Step 6: Final answer
    x = 7,191.22

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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.