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Finding the Fourth Proportional to 6,547, 9,822.30 and 1,930

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Solution

The fourth proportional to 6,547, 9,822.30 and 1,930 is: 2,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547 : 9,822.30 = 1,930 : x
  2. Step 2: Convert to fraction form
    6,547/9,822.30 = 1,930/x
  3. Step 3: Cross multiply
    6,547x = 9,822.30 × 1,930
  4. Step 4: Simplify right side
    6,547x = 18,957,039
  5. Step 5: Solve for x
    x = 18,957,039/6,547
  6. Step 6: Final answer
    x = 2,895.53

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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.