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Finding the Fourth Proportional to 13,297, 18,352.32 and 7,708

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Solution

The fourth proportional to 13,297, 18,352.32 and 7,708 is: 10,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297 : 18,352.32 = 7,708 : x
  2. Step 2: Convert to fraction form
    13,297/18,352.32 = 7,708/x
  3. Step 3: Cross multiply
    13,297x = 18,352.32 × 7,708
  4. Step 4: Simplify right side
    13,297x = 141,459,682.56
  5. Step 5: Solve for x
    x = 141,459,682.56/13,297
  6. Step 6: Final answer
    x = 10,638.47

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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.