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Finding the Fourth Proportional to 6,307.04, 8,702.64 and 3,512

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Solution

The fourth proportional to 6,307.04, 8,702.64 and 3,512 is: 4,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.04 : 8,702.64 = 3,512 : x
  2. Step 2: Convert to fraction form
    6,307.04/8,702.64 = 3,512/x
  3. Step 3: Cross multiply
    6,307.04x = 8,702.64 × 3,512
  4. Step 4: Simplify right side
    6,307.04x = 30,563,671.68
  5. Step 5: Solve for x
    x = 30,563,671.68/6,307.04
  6. Step 6: Final answer
    x = 4,845.96

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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.