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Finding the Fourth Proportional to 20,415, 28,174.86 and 12,963

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Solution

The fourth proportional to 20,415, 28,174.86 and 12,963 is: 17,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415 : 28,174.86 = 12,963 : x
  2. Step 2: Convert to fraction form
    20,415/28,174.86 = 12,963/x
  3. Step 3: Cross multiply
    20,415x = 28,174.86 × 12,963
  4. Step 4: Simplify right side
    20,415x = 365,230,710.18
  5. Step 5: Solve for x
    x = 365,230,710.18/20,415
  6. Step 6: Final answer
    x = 17,890.31

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1.5x scale

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.