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Finding the Fourth Proportional to 6,335, 8,742.30 and 3,540.50

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Solution

The fourth proportional to 6,335, 8,742.30 and 3,540.50 is: 4,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335 : 8,742.30 = 3,540.50 : x
  2. Step 2: Convert to fraction form
    6,335/8,742.30 = 3,540.50/x
  3. Step 3: Cross multiply
    6,335x = 8,742.30 × 3,540.50
  4. Step 4: Simplify right side
    6,335x = 30,952,113.15
  5. Step 5: Solve for x
    x = 30,952,113.15/6,335
  6. Step 6: Final answer
    x = 4,885.89

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