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Finding the Fourth Proportional to 5,415, 7,472.70 and 2,931

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Solution

The fourth proportional to 5,415, 7,472.70 and 2,931 is: 4,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415 : 7,472.70 = 2,931 : x
  2. Step 2: Convert to fraction form
    5,415/7,472.70 = 2,931/x
  3. Step 3: Cross multiply
    5,415x = 7,472.70 × 2,931
  4. Step 4: Simplify right side
    5,415x = 21,902,483.70
  5. Step 5: Solve for x
    x = 21,902,483.70/5,415
  6. Step 6: Final answer
    x = 4,044.78

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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.