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Finding the Fourth Proportional to 18,957.53, 28,424.13 and 7,871.87

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Solution

The fourth proportional to 18,957.53, 28,424.13 and 7,871.87 is: 11,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,957.53 : 28,424.13 = 7,871.87 : x
  2. Step 2: Convert to fraction form
    18,957.53/28,424.13 = 7,871.87/x
  3. Step 3: Cross multiply
    18,957.53x = 28,424.13 × 7,871.87
  4. Step 4: Simplify right side
    18,957.53x = 223,751,056.22
  5. Step 5: Solve for x
    x = 223,751,056.22/18,957.53
  6. Step 6: Final answer
    x = 11,802.75

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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.