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Finding the Fourth Proportional to 15,115, 22,615.50 and 13,580.28

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Solution

The fourth proportional to 15,115, 22,615.50 and 13,580.28 is: 20,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,115 : 22,615.50 = 13,580.28 : x
  2. Step 2: Convert to fraction form
    15,115/22,615.50 = 13,580.28/x
  3. Step 3: Cross multiply
    15,115x = 22,615.50 × 13,580.28
  4. Step 4: Simplify right side
    15,115x = 307,124,822.34
  5. Step 5: Solve for x
    x = 307,124,822.34/15,115
  6. Step 6: Final answer
    x = 20,319.21

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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.