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Finding the Fourth Proportional to 19,124, 26,379.68 and 12,038.12

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Solution

The fourth proportional to 19,124, 26,379.68 and 12,038.12 is: 16,605.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,124 : 26,379.68 = 12,038.12 : x
  2. Step 2: Convert to fraction form
    19,124/26,379.68 = 12,038.12/x
  3. Step 3: Cross multiply
    19,124x = 26,379.68 × 12,038.12
  4. Step 4: Simplify right side
    19,124x = 317,561,753.40
  5. Step 5: Solve for x
    x = 317,561,753.40/19,124
  6. Step 6: Final answer
    x = 16,605.40

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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.