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Finding the Fourth Proportional to 14,019, 21,029.04 and 4,785

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Solution

The fourth proportional to 14,019, 21,029.04 and 4,785 is: 7,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019 : 21,029.04 = 4,785 : x
  2. Step 2: Convert to fraction form
    14,019/21,029.04 = 4,785/x
  3. Step 3: Cross multiply
    14,019x = 21,029.04 × 4,785
  4. Step 4: Simplify right side
    14,019x = 100,623,956.40
  5. Step 5: Solve for x
    x = 100,623,956.40/14,019
  6. Step 6: Final answer
    x = 7,177.68

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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.