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Finding the Fourth Proportional to 7,876.56, 11,811.07 and 4,590.58

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Solution

The fourth proportional to 7,876.56, 11,811.07 and 4,590.58 is: 6,883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.56 : 11,811.07 = 4,590.58 : x
  2. Step 2: Convert to fraction form
    7,876.56/11,811.07 = 4,590.58/x
  3. Step 3: Cross multiply
    7,876.56x = 11,811.07 × 4,590.58
  4. Step 4: Simplify right side
    7,876.56x = 54,219,661.72
  5. Step 5: Solve for x
    x = 54,219,661.72/7,876.56
  6. Step 6: Final answer
    x = 6,883.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.