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Finding the Fourth Proportional to 7,645.60, 11,457.60 and 5,655.70

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Solution

The fourth proportional to 7,645.60, 11,457.60 and 5,655.70 is: 8,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.60 : 11,457.60 = 5,655.70 : x
  2. Step 2: Convert to fraction form
    7,645.60/11,457.60 = 5,655.70/x
  3. Step 3: Cross multiply
    7,645.60x = 11,457.60 × 5,655.70
  4. Step 4: Simplify right side
    7,645.60x = 64,800,748.32
  5. Step 5: Solve for x
    x = 64,800,748.32/7,645.60
  6. Step 6: Final answer
    x = 8,475.56

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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.