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Finding the Fourth Proportional to 12,509.51, 18,748.31 and 6,883.47

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Solution

The fourth proportional to 12,509.51, 18,748.31 and 6,883.47 is: 10,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.51 : 18,748.31 = 6,883.47 : x
  2. Step 2: Convert to fraction form
    12,509.51/18,748.31 = 6,883.47/x
  3. Step 3: Cross multiply
    12,509.51x = 18,748.31 × 6,883.47
  4. Step 4: Simplify right side
    12,509.51x = 129,053,395.02
  5. Step 5: Solve for x
    x = 129,053,395.02/12,509.51
  6. Step 6: Final answer
    x = 10,316.43

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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.