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Finding the Fourth Proportional to 11,354, 15,669.48 and 6,386.96

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Solution

The fourth proportional to 11,354, 15,669.48 and 6,386.96 is: 8,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354 : 15,669.48 = 6,386.96 : x
  2. Step 2: Convert to fraction form
    11,354/15,669.48 = 6,386.96/x
  3. Step 3: Cross multiply
    11,354x = 15,669.48 × 6,386.96
  4. Step 4: Simplify right side
    11,354x = 100,080,341.98
  5. Step 5: Solve for x
    x = 100,080,341.98/11,354
  6. Step 6: Final answer
    x = 8,814.54

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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.