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Finding the Fourth Proportional to 5,153.37, 7,731.18 and 1,866.12

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Solution

The fourth proportional to 5,153.37, 7,731.18 and 1,866.12 is: 2,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.37 : 7,731.18 = 1,866.12 : x
  2. Step 2: Convert to fraction form
    5,153.37/7,731.18 = 1,866.12/x
  3. Step 3: Cross multiply
    5,153.37x = 7,731.18 × 1,866.12
  4. Step 4: Simplify right side
    5,153.37x = 14,427,309.62
  5. Step 5: Solve for x
    x = 14,427,309.62/5,153.37
  6. Step 6: Final answer
    x = 2,799.59

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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.