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Finding the Fourth Proportional to 14,313.78, 21,484.44 and 7,753.86

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Solution

The fourth proportional to 14,313.78, 21,484.44 and 7,753.86 is: 11,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.78 : 21,484.44 = 7,753.86 : x
  2. Step 2: Convert to fraction form
    14,313.78/21,484.44 = 7,753.86/x
  3. Step 3: Cross multiply
    14,313.78x = 21,484.44 × 7,753.86
  4. Step 4: Simplify right side
    14,313.78x = 166,587,339.94
  5. Step 5: Solve for x
    x = 166,587,339.94/14,313.78
  6. Step 6: Final answer
    x = 11,638.25

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1.5x scale

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.