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Finding the Fourth Proportional to 9,785.31, 13,508.73 and 7,657.08

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Solution

The fourth proportional to 9,785.31, 13,508.73 and 7,657.08 is: 10,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.31 : 13,508.73 = 7,657.08 : x
  2. Step 2: Convert to fraction form
    9,785.31/13,508.73 = 7,657.08/x
  3. Step 3: Cross multiply
    9,785.31x = 13,508.73 × 7,657.08
  4. Step 4: Simplify right side
    9,785.31x = 103,437,426.31
  5. Step 5: Solve for x
    x = 103,437,426.31/9,785.31
  6. Step 6: Final answer
    x = 10,570.68

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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.