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Finding the Fourth Proportional to 13,803.66, 19,048.09 and 7,835.45

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Solution

The fourth proportional to 13,803.66, 19,048.09 and 7,835.45 is: 10,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.66 : 19,048.09 = 7,835.45 : x
  2. Step 2: Convert to fraction form
    13,803.66/19,048.09 = 7,835.45/x
  3. Step 3: Cross multiply
    13,803.66x = 19,048.09 × 7,835.45
  4. Step 4: Simplify right side
    13,803.66x = 149,250,356.79
  5. Step 5: Solve for x
    x = 149,250,356.79/13,803.66
  6. Step 6: Final answer
    x = 10,812.38

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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.