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Finding the Fourth Proportional to 9,620.54, 13,276.40 and 5,641.71

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Solution

The fourth proportional to 9,620.54, 13,276.40 and 5,641.71 is: 7,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.54 : 13,276.40 = 5,641.71 : x
  2. Step 2: Convert to fraction form
    9,620.54/13,276.40 = 5,641.71/x
  3. Step 3: Cross multiply
    9,620.54x = 13,276.40 × 5,641.71
  4. Step 4: Simplify right side
    9,620.54x = 74,901,598.64
  5. Step 5: Solve for x
    x = 74,901,598.64/9,620.54
  6. Step 6: Final answer
    x = 7,785.59

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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.