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Finding the Fourth Proportional to 8,302.35, 11,457.43 and 4,525.70

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Solution

The fourth proportional to 8,302.35, 11,457.43 and 4,525.70 is: 6,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.35 : 11,457.43 = 4,525.70 : x
  2. Step 2: Convert to fraction form
    8,302.35/11,457.43 = 4,525.70/x
  3. Step 3: Cross multiply
    8,302.35x = 11,457.43 × 4,525.70
  4. Step 4: Simplify right side
    8,302.35x = 51,852,908.28
  5. Step 5: Solve for x
    x = 51,852,908.28/8,302.35
  6. Step 6: Final answer
    x = 6,245.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.