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Finding the Fourth Proportional to 36,946, 55,419 and 14,769.28

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Solution

The fourth proportional to 36,946, 55,419 and 14,769.28 is: 22,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,946 : 55,419 = 14,769.28 : x
  2. Step 2: Convert to fraction form
    36,946/55,419 = 14,769.28/x
  3. Step 3: Cross multiply
    36,946x = 55,419 × 14,769.28
  4. Step 4: Simplify right side
    36,946x = 818,498,728.32
  5. Step 5: Solve for x
    x = 818,498,728.32/36,946
  6. Step 6: Final answer
    x = 22,153.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.