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Finding the Fourth Proportional to 18,965, 28,450.20 and 10,078.01

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Solution

The fourth proportional to 18,965, 28,450.20 and 10,078.01 is: 15,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,965 : 28,450.20 = 10,078.01 : x
  2. Step 2: Convert to fraction form
    18,965/28,450.20 = 10,078.01/x
  3. Step 3: Cross multiply
    18,965x = 28,450.20 × 10,078.01
  4. Step 4: Simplify right side
    18,965x = 286,721,400.10
  5. Step 5: Solve for x
    x = 286,721,400.10/18,965
  6. Step 6: Final answer
    x = 15,118.45

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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.