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Finding the Fourth Proportional to 14,702.90, 20,289.42 and 8,734.41

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Solution

The fourth proportional to 14,702.90, 20,289.42 and 8,734.41 is: 12,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.90 : 20,289.42 = 8,734.41 : x
  2. Step 2: Convert to fraction form
    14,702.90/20,289.42 = 8,734.41/x
  3. Step 3: Cross multiply
    14,702.90x = 20,289.42 × 8,734.41
  4. Step 4: Simplify right side
    14,702.90x = 177,216,112.94
  5. Step 5: Solve for x
    x = 177,216,112.94/14,702.90
  6. Step 6: Final answer
    x = 12,053.14

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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.