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Finding the Fourth Proportional to 6,999.88, 10,478.10 and 5,234.47

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Solution

The fourth proportional to 6,999.88, 10,478.10 and 5,234.47 is: 7,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.88 : 10,478.10 = 5,234.47 : x
  2. Step 2: Convert to fraction form
    6,999.88/10,478.10 = 5,234.47/x
  3. Step 3: Cross multiply
    6,999.88x = 10,478.10 × 5,234.47
  4. Step 4: Simplify right side
    6,999.88x = 54,847,300.11
  5. Step 5: Solve for x
    x = 54,847,300.11/6,999.88
  6. Step 6: Final answer
    x = 7,835.46

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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.