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Finding the Fourth Proportional to 9,782.34, 13,498.56 and 5,589.78

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Solution

The fourth proportional to 9,782.34, 13,498.56 and 5,589.78 is: 7,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.34 : 13,498.56 = 5,589.78 : x
  2. Step 2: Convert to fraction form
    9,782.34/13,498.56 = 5,589.78/x
  3. Step 3: Cross multiply
    9,782.34x = 13,498.56 × 5,589.78
  4. Step 4: Simplify right side
    9,782.34x = 75,453,980.72
  5. Step 5: Solve for x
    x = 75,453,980.72/9,782.34
  6. Step 6: Final answer
    x = 7,713.29

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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.