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Finding the Fourth Proportional to 15,874.10, 21,905.07 and 8,702.86

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Solution

The fourth proportional to 15,874.10, 21,905.07 and 8,702.86 is: 12,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.10 : 21,905.07 = 8,702.86 : x
  2. Step 2: Convert to fraction form
    15,874.10/21,905.07 = 8,702.86/x
  3. Step 3: Cross multiply
    15,874.10x = 21,905.07 × 8,702.86
  4. Step 4: Simplify right side
    15,874.10x = 190,636,757.50
  5. Step 5: Solve for x
    x = 190,636,757.50/15,874.10
  6. Step 6: Final answer
    x = 12,009.30

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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.