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Finding the Fourth Proportional to 13,038.44, 17,995.50 and 7,736.18

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Solution

The fourth proportional to 13,038.44, 17,995.50 and 7,736.18 is: 10,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.44 : 17,995.50 = 7,736.18 : x
  2. Step 2: Convert to fraction form
    13,038.44/17,995.50 = 7,736.18/x
  3. Step 3: Cross multiply
    13,038.44x = 17,995.50 × 7,736.18
  4. Step 4: Simplify right side
    13,038.44x = 139,216,337.21
  5. Step 5: Solve for x
    x = 139,216,337.21/13,038.44
  6. Step 6: Final answer
    x = 10,677.38

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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.