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Finding the Fourth Proportional to 6,415.71, 8,853.06 and 3,582.86

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Solution

The fourth proportional to 6,415.71, 8,853.06 and 3,582.86 is: 4,944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.71 : 8,853.06 = 3,582.86 : x
  2. Step 2: Convert to fraction form
    6,415.71/8,853.06 = 3,582.86/x
  3. Step 3: Cross multiply
    6,415.71x = 8,853.06 × 3,582.86
  4. Step 4: Simplify right side
    6,415.71x = 31,719,256.64
  5. Step 5: Solve for x
    x = 31,719,256.64/6,415.71
  6. Step 6: Final answer
    x = 4,944.00

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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.