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Finding the Fourth Proportional to 18,693.68, 28,045.38 and 7,007

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Solution

The fourth proportional to 18,693.68, 28,045.38 and 7,007 is: 10,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,693.68 : 28,045.38 = 7,007 : x
  2. Step 2: Convert to fraction form
    18,693.68/28,045.38 = 7,007/x
  3. Step 3: Cross multiply
    18,693.68x = 28,045.38 × 7,007
  4. Step 4: Simplify right side
    18,693.68x = 196,513,977.66
  5. Step 5: Solve for x
    x = 196,513,977.66/18,693.68
  6. Step 6: Final answer
    x = 10,512.32

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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.