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Finding the Fourth Proportional to 8,547, 11,793.44 and 5,709.82

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Solution

The fourth proportional to 8,547, 11,793.44 and 5,709.82 is: 7,878.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547 : 11,793.44 = 5,709.82 : x
  2. Step 2: Convert to fraction form
    8,547/11,793.44 = 5,709.82/x
  3. Step 3: Cross multiply
    8,547x = 11,793.44 × 5,709.82
  4. Step 4: Simplify right side
    8,547x = 67,338,419.58
  5. Step 5: Solve for x
    x = 67,338,419.58/8,547
  6. Step 6: Final answer
    x = 7,878.60

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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.