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Finding the Fourth Proportional to 21,030.66, 29,019.12 and 12,078.54

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Solution

The fourth proportional to 21,030.66, 29,019.12 and 12,078.54 is: 16,666.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,030.66 : 29,019.12 = 12,078.54 : x
  2. Step 2: Convert to fraction form
    21,030.66/29,019.12 = 12,078.54/x
  3. Step 3: Cross multiply
    21,030.66x = 29,019.12 × 12,078.54
  4. Step 4: Simplify right side
    21,030.66x = 350,508,601.68
  5. Step 5: Solve for x
    x = 350,508,601.68/21,030.66
  6. Step 6: Final answer
    x = 16,666.55

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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.