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Finding the Fourth Proportional to 7,707.60, 11,558.88 and 3,756.60

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Solution

The fourth proportional to 7,707.60, 11,558.88 and 3,756.60 is: 5,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.60 : 11,558.88 = 3,756.60 : x
  2. Step 2: Convert to fraction form
    7,707.60/11,558.88 = 3,756.60/x
  3. Step 3: Cross multiply
    7,707.60x = 11,558.88 × 3,756.60
  4. Step 4: Simplify right side
    7,707.60x = 43,422,088.61
  5. Step 5: Solve for x
    x = 43,422,088.61/7,707.60
  6. Step 6: Final answer
    x = 5,633.67

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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.