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Finding the Fourth Proportional to 6,339.16, 9,509.28 and 1,659.15

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Solution

The fourth proportional to 6,339.16, 9,509.28 and 1,659.15 is: 2,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.16 : 9,509.28 = 1,659.15 : x
  2. Step 2: Convert to fraction form
    6,339.16/9,509.28 = 1,659.15/x
  3. Step 3: Cross multiply
    6,339.16x = 9,509.28 × 1,659.15
  4. Step 4: Simplify right side
    6,339.16x = 15,777,274.37
  5. Step 5: Solve for x
    x = 15,777,274.37/6,339.16
  6. Step 6: Final answer
    x = 2,488.86

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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.