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Finding the Fourth Proportional to 7,587.69, 11,382.59 and 2,656.20

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Solution

The fourth proportional to 7,587.69, 11,382.59 and 2,656.20 is: 3,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.69 : 11,382.59 = 2,656.20 : x
  2. Step 2: Convert to fraction form
    7,587.69/11,382.59 = 2,656.20/x
  3. Step 3: Cross multiply
    7,587.69x = 11,382.59 × 2,656.20
  4. Step 4: Simplify right side
    7,587.69x = 30,234,484.88
  5. Step 5: Solve for x
    x = 30,234,484.88/7,587.69
  6. Step 6: Final answer
    x = 3,984.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.