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Finding the Fourth Proportional to 6,985.98, 10,478.87 and 2,825.96

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Solution

The fourth proportional to 6,985.98, 10,478.87 and 2,825.96 is: 4,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.98 : 10,478.87 = 2,825.96 : x
  2. Step 2: Convert to fraction form
    6,985.98/10,478.87 = 2,825.96/x
  3. Step 3: Cross multiply
    6,985.98x = 10,478.87 × 2,825.96
  4. Step 4: Simplify right side
    6,985.98x = 29,612,800.94
  5. Step 5: Solve for x
    x = 29,612,800.94/6,985.98
  6. Step 6: Final answer
    x = 4,238.89

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1.5x scale

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.