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Finding the Fourth Proportional to 6,920.37, 9,540 and 5,504.58

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Solution

The fourth proportional to 6,920.37, 9,540 and 5,504.58 is: 7,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.37 : 9,540 = 5,504.58 : x
  2. Step 2: Convert to fraction form
    6,920.37/9,540 = 5,504.58/x
  3. Step 3: Cross multiply
    6,920.37x = 9,540 × 5,504.58
  4. Step 4: Simplify right side
    6,920.37x = 52,513,693.20
  5. Step 5: Solve for x
    x = 52,513,693.20/6,920.37
  6. Step 6: Final answer
    x = 7,588.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.