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Finding the Fourth Proportional to 10,384.96, 15,573.72 and 3,809.68

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Solution

The fourth proportional to 10,384.96, 15,573.72 and 3,809.68 is: 5,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.96 : 15,573.72 = 3,809.68 : x
  2. Step 2: Convert to fraction form
    10,384.96/15,573.72 = 3,809.68/x
  3. Step 3: Cross multiply
    10,384.96x = 15,573.72 × 3,809.68
  4. Step 4: Simplify right side
    10,384.96x = 59,330,889.61
  5. Step 5: Solve for x
    x = 59,330,889.61/10,384.96
  6. Step 6: Final answer
    x = 5,713.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.