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Finding the Fourth Proportional to 9,256.85, 12,774.40 and 8,503.75

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Solution

The fourth proportional to 9,256.85, 12,774.40 and 8,503.75 is: 11,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.85 : 12,774.40 = 8,503.75 : x
  2. Step 2: Convert to fraction form
    9,256.85/12,774.40 = 8,503.75/x
  3. Step 3: Cross multiply
    9,256.85x = 12,774.40 × 8,503.75
  4. Step 4: Simplify right side
    9,256.85x = 108,630,304
  5. Step 5: Solve for x
    x = 108,630,304/9,256.85
  6. Step 6: Final answer
    x = 11,735.13

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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.