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Finding the Fourth Proportional to 15,352.16, 21,185.52 and 8,638.16

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Solution

The fourth proportional to 15,352.16, 21,185.52 and 8,638.16 is: 11,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,352.16 : 21,185.52 = 8,638.16 : x
  2. Step 2: Convert to fraction form
    15,352.16/21,185.52 = 8,638.16/x
  3. Step 3: Cross multiply
    15,352.16x = 21,185.52 × 8,638.16
  4. Step 4: Simplify right side
    15,352.16x = 183,003,911.44
  5. Step 5: Solve for x
    x = 183,003,911.44/15,352.16
  6. Step 6: Final answer
    x = 11,920.40

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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.