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Finding the Fourth Proportional to 13,714.98, 18,929.87 and 9,737.34

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Solution

The fourth proportional to 13,714.98, 18,929.87 and 9,737.34 is: 13,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.98 : 18,929.87 = 9,737.34 : x
  2. Step 2: Convert to fraction form
    13,714.98/18,929.87 = 9,737.34/x
  3. Step 3: Cross multiply
    13,714.98x = 18,929.87 × 9,737.34
  4. Step 4: Simplify right side
    13,714.98x = 184,326,580.35
  5. Step 5: Solve for x
    x = 184,326,580.35/13,714.98
  6. Step 6: Final answer
    x = 13,439.80

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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.