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Finding the Fourth Proportional to 5,310.13, 7,964.29 and 1,611.47

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Solution

The fourth proportional to 5,310.13, 7,964.29 and 1,611.47 is: 2,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.13 : 7,964.29 = 1,611.47 : x
  2. Step 2: Convert to fraction form
    5,310.13/7,964.29 = 1,611.47/x
  3. Step 3: Cross multiply
    5,310.13x = 7,964.29 × 1,611.47
  4. Step 4: Simplify right side
    5,310.13x = 12,834,174.58
  5. Step 5: Solve for x
    x = 12,834,174.58/5,310.13
  6. Step 6: Final answer
    x = 2,416.93

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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.