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Finding the Fourth Proportional to 6,233.64, 8,602.10 and 3,875.74

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Solution

The fourth proportional to 6,233.64, 8,602.10 and 3,875.74 is: 5,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.64 : 8,602.10 = 3,875.74 : x
  2. Step 2: Convert to fraction form
    6,233.64/8,602.10 = 3,875.74/x
  3. Step 3: Cross multiply
    6,233.64x = 8,602.10 × 3,875.74
  4. Step 4: Simplify right side
    6,233.64x = 33,339,503.05
  5. Step 5: Solve for x
    x = 33,339,503.05/6,233.64
  6. Step 6: Final answer
    x = 5,348.32

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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.