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Finding the Fourth Proportional to 19,702.58, 29,546.34 and 8,456.90

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Solution

The fourth proportional to 19,702.58, 29,546.34 and 8,456.90 is: 12,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.58 : 29,546.34 = 8,456.90 : x
  2. Step 2: Convert to fraction form
    19,702.58/29,546.34 = 8,456.90/x
  3. Step 3: Cross multiply
    19,702.58x = 29,546.34 × 8,456.90
  4. Step 4: Simplify right side
    19,702.58x = 249,870,442.75
  5. Step 5: Solve for x
    x = 249,870,442.75/19,702.58
  6. Step 6: Final answer
    x = 12,682.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.