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Finding the Fourth Proportional to 11,897.36, 16,414.16 and 7,417.40

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Solution

The fourth proportional to 11,897.36, 16,414.16 and 7,417.40 is: 10,233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.36 : 16,414.16 = 7,417.40 : x
  2. Step 2: Convert to fraction form
    11,897.36/16,414.16 = 7,417.40/x
  3. Step 3: Cross multiply
    11,897.36x = 16,414.16 × 7,417.40
  4. Step 4: Simplify right side
    11,897.36x = 121,750,390.38
  5. Step 5: Solve for x
    x = 121,750,390.38/11,897.36
  6. Step 6: Final answer
    x = 10,233.40

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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.