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Finding the Fourth Proportional to 10,590, 15,886.08 and 3,664.48

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Solution

The fourth proportional to 10,590, 15,886.08 and 3,664.48 is: 5,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590 : 15,886.08 = 3,664.48 : x
  2. Step 2: Convert to fraction form
    10,590/15,886.08 = 3,664.48/x
  3. Step 3: Cross multiply
    10,590x = 15,886.08 × 3,664.48
  4. Step 4: Simplify right side
    10,590x = 58,214,222.44
  5. Step 5: Solve for x
    x = 58,214,222.44/10,590
  6. Step 6: Final answer
    x = 5,497.09

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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.