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Finding the Fourth Proportional to 5,357.89, 8,037.07 and 1,660.20

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Solution

The fourth proportional to 5,357.89, 8,037.07 and 1,660.20 is: 2,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.89 : 8,037.07 = 1,660.20 : x
  2. Step 2: Convert to fraction form
    5,357.89/8,037.07 = 1,660.20/x
  3. Step 3: Cross multiply
    5,357.89x = 8,037.07 × 1,660.20
  4. Step 4: Simplify right side
    5,357.89x = 13,343,143.61
  5. Step 5: Solve for x
    x = 13,343,143.61/5,357.89
  6. Step 6: Final answer
    x = 2,490.37

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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.