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Finding the Fourth Proportional to 11,317.96, 15,612.24 and 7,965.64

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Solution

The fourth proportional to 11,317.96, 15,612.24 and 7,965.64 is: 10,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317.96 : 15,612.24 = 7,965.64 : x
  2. Step 2: Convert to fraction form
    11,317.96/15,612.24 = 7,965.64/x
  3. Step 3: Cross multiply
    11,317.96x = 15,612.24 × 7,965.64
  4. Step 4: Simplify right side
    11,317.96x = 124,361,483.43
  5. Step 5: Solve for x
    x = 124,361,483.43/11,317.96
  6. Step 6: Final answer
    x = 10,987.98

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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.