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Finding the Fourth Proportional to 9,042, 12,483.78 and 6,208.46

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Solution

The fourth proportional to 9,042, 12,483.78 and 6,208.46 is: 8,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042 : 12,483.78 = 6,208.46 : x
  2. Step 2: Convert to fraction form
    9,042/12,483.78 = 6,208.46/x
  3. Step 3: Cross multiply
    9,042x = 12,483.78 × 6,208.46
  4. Step 4: Simplify right side
    9,042x = 77,505,048.78
  5. Step 5: Solve for x
    x = 77,505,048.78/9,042
  6. Step 6: Final answer
    x = 8,571.67

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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.