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Finding the Fourth Proportional to 7,537.68, 10,392.96 and 7,122

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Solution

The fourth proportional to 7,537.68, 10,392.96 and 7,122 is: 9,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.68 : 10,392.96 = 7,122 : x
  2. Step 2: Convert to fraction form
    7,537.68/10,392.96 = 7,122/x
  3. Step 3: Cross multiply
    7,537.68x = 10,392.96 × 7,122
  4. Step 4: Simplify right side
    7,537.68x = 74,018,661.12
  5. Step 5: Solve for x
    x = 74,018,661.12/7,537.68
  6. Step 6: Final answer
    x = 9,819.82

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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.