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Finding the Fourth Proportional to 19,207.38, 26,513.48 and 12,923.40

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Solution

The fourth proportional to 19,207.38, 26,513.48 and 12,923.40 is: 17,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,207.38 : 26,513.48 = 12,923.40 : x
  2. Step 2: Convert to fraction form
    19,207.38/26,513.48 = 12,923.40/x
  3. Step 3: Cross multiply
    19,207.38x = 26,513.48 × 12,923.40
  4. Step 4: Simplify right side
    19,207.38x = 342,644,307.43
  5. Step 5: Solve for x
    x = 342,644,307.43/19,207.38
  6. Step 6: Final answer
    x = 17,839.20

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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.