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Finding the Fourth Proportional to 4,693.44, 7,038.54 and 1,920

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Solution

The fourth proportional to 4,693.44, 7,038.54 and 1,920 is: 2,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.44 : 7,038.54 = 1,920 : x
  2. Step 2: Convert to fraction form
    4,693.44/7,038.54 = 1,920/x
  3. Step 3: Cross multiply
    4,693.44x = 7,038.54 × 1,920
  4. Step 4: Simplify right side
    4,693.44x = 13,513,996.80
  5. Step 5: Solve for x
    x = 13,513,996.80/4,693.44
  6. Step 6: Final answer
    x = 2,879.34

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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.