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Finding the Fourth Proportional to 6,970.92, 10,456.92 and 1,776.78

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Solution

The fourth proportional to 6,970.92, 10,456.92 and 1,776.78 is: 2,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.92 : 10,456.92 = 1,776.78 : x
  2. Step 2: Convert to fraction form
    6,970.92/10,456.92 = 1,776.78/x
  3. Step 3: Cross multiply
    6,970.92x = 10,456.92 × 1,776.78
  4. Step 4: Simplify right side
    6,970.92x = 18,579,646.32
  5. Step 5: Solve for x
    x = 18,579,646.32/6,970.92
  6. Step 6: Final answer
    x = 2,665.31

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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.