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Finding the Fourth Proportional to 6,076, 8,384.88 and 3,281.50

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Solution

The fourth proportional to 6,076, 8,384.88 and 3,281.50 is: 4,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076 : 8,384.88 = 3,281.50 : x
  2. Step 2: Convert to fraction form
    6,076/8,384.88 = 3,281.50/x
  3. Step 3: Cross multiply
    6,076x = 8,384.88 × 3,281.50
  4. Step 4: Simplify right side
    6,076x = 27,514,983.72
  5. Step 5: Solve for x
    x = 27,514,983.72/6,076
  6. Step 6: Final answer
    x = 4,528.47

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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.