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Finding the Fourth Proportional to 10,461.84, 15,695.48 and 3,889.92

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Solution

The fourth proportional to 10,461.84, 15,695.48 and 3,889.92 is: 5,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.84 : 15,695.48 = 3,889.92 : x
  2. Step 2: Convert to fraction form
    10,461.84/15,695.48 = 3,889.92/x
  3. Step 3: Cross multiply
    10,461.84x = 15,695.48 × 3,889.92
  4. Step 4: Simplify right side
    10,461.84x = 61,054,161.56
  5. Step 5: Solve for x
    x = 61,054,161.56/10,461.84
  6. Step 6: Final answer
    x = 5,835.89

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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.