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Finding the Fourth Proportional to 6,283.64, 8,670.81 and 3,630.68

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Solution

The fourth proportional to 6,283.64, 8,670.81 and 3,630.68 is: 5,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.64 : 8,670.81 = 3,630.68 : x
  2. Step 2: Convert to fraction form
    6,283.64/8,670.81 = 3,630.68/x
  3. Step 3: Cross multiply
    6,283.64x = 8,670.81 × 3,630.68
  4. Step 4: Simplify right side
    6,283.64x = 31,480,936.45
  5. Step 5: Solve for x
    x = 31,480,936.45/6,283.64
  6. Step 6: Final answer
    x = 5,009.98

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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.