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Finding the Fourth Proportional to 18,973.25, 28,443.80 and 7,873.01

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Solution

The fourth proportional to 18,973.25, 28,443.80 and 7,873.01 is: 11,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,973.25 : 28,443.80 = 7,873.01 : x
  2. Step 2: Convert to fraction form
    18,973.25/28,443.80 = 7,873.01/x
  3. Step 3: Cross multiply
    18,973.25x = 28,443.80 × 7,873.01
  4. Step 4: Simplify right side
    18,973.25x = 223,938,140.25
  5. Step 5: Solve for x
    x = 223,938,140.25/18,973.25
  6. Step 6: Final answer
    x = 11,802.84

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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.