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Finding the Fourth Proportional to 9,255, 12,771.90 and 5,063.34

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Solution

The fourth proportional to 9,255, 12,771.90 and 5,063.34 is: 6,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255 : 12,771.90 = 5,063.34 : x
  2. Step 2: Convert to fraction form
    9,255/12,771.90 = 5,063.34/x
  3. Step 3: Cross multiply
    9,255x = 12,771.90 × 5,063.34
  4. Step 4: Simplify right side
    9,255x = 64,668,472.15
  5. Step 5: Solve for x
    x = 64,668,472.15/9,255
  6. Step 6: Final answer
    x = 6,987.41

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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.