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Finding the Fourth Proportional to 6,970.88, 10,456.32 and 2,864

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Solution

The fourth proportional to 6,970.88, 10,456.32 and 2,864 is: 4,296

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.88 : 10,456.32 = 2,864 : x
  2. Step 2: Convert to fraction form
    6,970.88/10,456.32 = 2,864/x
  3. Step 3: Cross multiply
    6,970.88x = 10,456.32 × 2,864
  4. Step 4: Simplify right side
    6,970.88x = 29,946,900.48
  5. Step 5: Solve for x
    x = 29,946,900.48/6,970.88
  6. Step 6: Final answer
    x = 4,296

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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.