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Finding the Fourth Proportional to 11,416.72, 15,755.16 and 6,448.72

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Solution

The fourth proportional to 11,416.72, 15,755.16 and 6,448.72 is: 8,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.72 : 15,755.16 = 6,448.72 : x
  2. Step 2: Convert to fraction form
    11,416.72/15,755.16 = 6,448.72/x
  3. Step 3: Cross multiply
    11,416.72x = 15,755.16 × 6,448.72
  4. Step 4: Simplify right side
    11,416.72x = 101,600,615.40
  5. Step 5: Solve for x
    x = 101,600,615.40/11,416.72
  6. Step 6: Final answer
    x = 8,899.28

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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.