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Finding the Fourth Proportional to 5,370, 7,411.02 and 2,980.71

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Solution

The fourth proportional to 5,370, 7,411.02 and 2,980.71 is: 4,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370 : 7,411.02 = 2,980.71 : x
  2. Step 2: Convert to fraction form
    5,370/7,411.02 = 2,980.71/x
  3. Step 3: Cross multiply
    5,370x = 7,411.02 × 2,980.71
  4. Step 4: Simplify right side
    5,370x = 22,090,101.42
  5. Step 5: Solve for x
    x = 22,090,101.42/5,370
  6. Step 6: Final answer
    x = 4,113.61

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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.