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Finding the Fourth Proportional to 11,426.34, 15,763.71 and 7,446

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Solution

The fourth proportional to 11,426.34, 15,763.71 and 7,446 is: 10,272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.34 : 15,763.71 = 7,446 : x
  2. Step 2: Convert to fraction form
    11,426.34/15,763.71 = 7,446/x
  3. Step 3: Cross multiply
    11,426.34x = 15,763.71 × 7,446
  4. Step 4: Simplify right side
    11,426.34x = 117,376,584.66
  5. Step 5: Solve for x
    x = 117,376,584.66/11,426.34
  6. Step 6: Final answer
    x = 10,272.46

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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.