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Finding the Fourth Proportional to 9,612.24, 13,256.32 and 6,472.68

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Solution

The fourth proportional to 9,612.24, 13,256.32 and 6,472.68 is: 8,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.24 : 13,256.32 = 6,472.68 : x
  2. Step 2: Convert to fraction form
    9,612.24/13,256.32 = 6,472.68/x
  3. Step 3: Cross multiply
    9,612.24x = 13,256.32 × 6,472.68
  4. Step 4: Simplify right side
    9,612.24x = 85,803,917.34
  5. Step 5: Solve for x
    x = 85,803,917.34/9,612.24
  6. Step 6: Final answer
    x = 8,926.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.