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Finding the Fourth Proportional to 6,415.32, 8,853 and 3,582.60

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Solution

The fourth proportional to 6,415.32, 8,853 and 3,582.60 is: 4,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.32 : 8,853 = 3,582.60 : x
  2. Step 2: Convert to fraction form
    6,415.32/8,853 = 3,582.60/x
  3. Step 3: Cross multiply
    6,415.32x = 8,853 × 3,582.60
  4. Step 4: Simplify right side
    6,415.32x = 31,716,757.80
  5. Step 5: Solve for x
    x = 31,716,757.80/6,415.32
  6. Step 6: Final answer
    x = 4,943.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.