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Finding the Fourth Proportional to 7,616.40, 11,408.06 and 7,430.54

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Solution

The fourth proportional to 7,616.40, 11,408.06 and 7,430.54 is: 11,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.40 : 11,408.06 = 7,430.54 : x
  2. Step 2: Convert to fraction form
    7,616.40/11,408.06 = 7,430.54/x
  3. Step 3: Cross multiply
    7,616.40x = 11,408.06 × 7,430.54
  4. Step 4: Simplify right side
    7,616.40x = 84,768,046.15
  5. Step 5: Solve for x
    x = 84,768,046.15/7,616.40
  6. Step 6: Final answer
    x = 11,129.67

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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.