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Finding the Fourth Proportional to 9,930.63, 13,702.72 and 6,398.63

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Solution

The fourth proportional to 9,930.63, 13,702.72 and 6,398.63 is: 8,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.63 : 13,702.72 = 6,398.63 : x
  2. Step 2: Convert to fraction form
    9,930.63/13,702.72 = 6,398.63/x
  3. Step 3: Cross multiply
    9,930.63x = 13,702.72 × 6,398.63
  4. Step 4: Simplify right side
    9,930.63x = 87,678,635.27
  5. Step 5: Solve for x
    x = 87,678,635.27/9,930.63
  6. Step 6: Final answer
    x = 8,829.11

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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.