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Finding the Fourth Proportional to 5,760.32, 8,642.09 and 1,865.03

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Solution

The fourth proportional to 5,760.32, 8,642.09 and 1,865.03 is: 2,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.32 : 8,642.09 = 1,865.03 : x
  2. Step 2: Convert to fraction form
    5,760.32/8,642.09 = 1,865.03/x
  3. Step 3: Cross multiply
    5,760.32x = 8,642.09 × 1,865.03
  4. Step 4: Simplify right side
    5,760.32x = 16,117,718.56
  5. Step 5: Solve for x
    x = 16,117,718.56/5,760.32
  6. Step 6: Final answer
    x = 2,798.06

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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.