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Finding the Fourth Proportional to 12,664, 17,476.08 and 7,358.84

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Solution

The fourth proportional to 12,664, 17,476.08 and 7,358.84 is: 10,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664 : 17,476.08 = 7,358.84 : x
  2. Step 2: Convert to fraction form
    12,664/17,476.08 = 7,358.84/x
  3. Step 3: Cross multiply
    12,664x = 17,476.08 × 7,358.84
  4. Step 4: Simplify right side
    12,664x = 128,603,676.55
  5. Step 5: Solve for x
    x = 128,603,676.55/12,664
  6. Step 6: Final answer
    x = 10,155.06

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Why These Related Problems?

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