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Finding the Fourth Proportional to 11,547.76, 15,919.32 and 8,230

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Solution

The fourth proportional to 11,547.76, 15,919.32 and 8,230 is: 11,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.76 : 15,919.32 = 8,230 : x
  2. Step 2: Convert to fraction form
    11,547.76/15,919.32 = 8,230/x
  3. Step 3: Cross multiply
    11,547.76x = 15,919.32 × 8,230
  4. Step 4: Simplify right side
    11,547.76x = 131,016,003.60
  5. Step 5: Solve for x
    x = 131,016,003.60/11,547.76
  6. Step 6: Final answer
    x = 11,345.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.