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Finding the Fourth Proportional to 9,973.54, 13,763.37 and 5,782.18

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Solution

The fourth proportional to 9,973.54, 13,763.37 and 5,782.18 is: 7,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.54 : 13,763.37 = 5,782.18 : x
  2. Step 2: Convert to fraction form
    9,973.54/13,763.37 = 5,782.18/x
  3. Step 3: Cross multiply
    9,973.54x = 13,763.37 × 5,782.18
  4. Step 4: Simplify right side
    9,973.54x = 79,582,282.75
  5. Step 5: Solve for x
    x = 79,582,282.75/9,973.54
  6. Step 6: Final answer
    x = 7,979.34

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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.