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Finding the Fourth Proportional to 11,376.84, 15,689.28 and 7,393.44

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Solution

The fourth proportional to 11,376.84, 15,689.28 and 7,393.44 is: 10,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.84 : 15,689.28 = 7,393.44 : x
  2. Step 2: Convert to fraction form
    11,376.84/15,689.28 = 7,393.44/x
  3. Step 3: Cross multiply
    11,376.84x = 15,689.28 × 7,393.44
  4. Step 4: Simplify right side
    11,376.84x = 115,997,750.32
  5. Step 5: Solve for x
    x = 115,997,750.32/11,376.84
  6. Step 6: Final answer
    x = 10,195.96

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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.