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Finding the Fourth Proportional to 10,025.29, 13,825.43 and 7,478.67

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Solution

The fourth proportional to 10,025.29, 13,825.43 and 7,478.67 is: 10,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.29 : 13,825.43 = 7,478.67 : x
  2. Step 2: Convert to fraction form
    10,025.29/13,825.43 = 7,478.67/x
  3. Step 3: Cross multiply
    10,025.29x = 13,825.43 × 7,478.67
  4. Step 4: Simplify right side
    10,025.29x = 103,395,828.58
  5. Step 5: Solve for x
    x = 103,395,828.58/10,025.29
  6. Step 6: Final answer
    x = 10,313.51

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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.