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Finding the Fourth Proportional to 14,128.16, 21,187.83 and 4,892

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Solution

The fourth proportional to 14,128.16, 21,187.83 and 4,892 is: 7,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,128.16 : 21,187.83 = 4,892 : x
  2. Step 2: Convert to fraction form
    14,128.16/21,187.83 = 4,892/x
  3. Step 3: Cross multiply
    14,128.16x = 21,187.83 × 4,892
  4. Step 4: Simplify right side
    14,128.16x = 103,650,864.36
  5. Step 5: Solve for x
    x = 103,650,864.36/14,128.16
  6. Step 6: Final answer
    x = 7,336.47

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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.