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Finding the Fourth Proportional to 10,357.68, 14,293.12 and 5,641.96

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Solution

The fourth proportional to 10,357.68, 14,293.12 and 5,641.96 is: 7,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.68 : 14,293.12 = 5,641.96 : x
  2. Step 2: Convert to fraction form
    10,357.68/14,293.12 = 5,641.96/x
  3. Step 3: Cross multiply
    10,357.68x = 14,293.12 × 5,641.96
  4. Step 4: Simplify right side
    10,357.68x = 80,641,211.32
  5. Step 5: Solve for x
    x = 80,641,211.32/10,357.68
  6. Step 6: Final answer
    x = 7,785.64

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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.