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Finding the Fourth Proportional to 7,357, 10,152.82 and 4,045

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Solution

The fourth proportional to 7,357, 10,152.82 and 4,045 is: 5,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357 : 10,152.82 = 4,045 : x
  2. Step 2: Convert to fraction form
    7,357/10,152.82 = 4,045/x
  3. Step 3: Cross multiply
    7,357x = 10,152.82 × 4,045
  4. Step 4: Simplify right side
    7,357x = 41,068,156.90
  5. Step 5: Solve for x
    x = 41,068,156.90/7,357
  6. Step 6: Final answer
    x = 5,582.19

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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.