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Finding the Fourth Proportional to 9,394.41, 12,934.78 and 7,975.16

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Solution

The fourth proportional to 9,394.41, 12,934.78 and 7,975.16 is: 10,980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.41 : 12,934.78 = 7,975.16 : x
  2. Step 2: Convert to fraction form
    9,394.41/12,934.78 = 7,975.16/x
  3. Step 3: Cross multiply
    9,394.41x = 12,934.78 × 7,975.16
  4. Step 4: Simplify right side
    9,394.41x = 103,156,875.39
  5. Step 5: Solve for x
    x = 103,156,875.39/9,394.41
  6. Step 6: Final answer
    x = 10,980.67

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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.