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Finding the Fourth Proportional to 6,547.80, 9,818 and 5,769.56

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Solution

The fourth proportional to 6,547.80, 9,818 and 5,769.56 is: 8,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.80 : 9,818 = 5,769.56 : x
  2. Step 2: Convert to fraction form
    6,547.80/9,818 = 5,769.56/x
  3. Step 3: Cross multiply
    6,547.80x = 9,818 × 5,769.56
  4. Step 4: Simplify right side
    6,547.80x = 56,645,540.08
  5. Step 5: Solve for x
    x = 56,645,540.08/6,547.80
  6. Step 6: Final answer
    x = 8,651.08

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Why These Related Problems?

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