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Finding the Fourth Proportional to 9,265.20, 13,897.80 and 3,719.40

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Solution

The fourth proportional to 9,265.20, 13,897.80 and 3,719.40 is: 5,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.20 : 13,897.80 = 3,719.40 : x
  2. Step 2: Convert to fraction form
    9,265.20/13,897.80 = 3,719.40/x
  3. Step 3: Cross multiply
    9,265.20x = 13,897.80 × 3,719.40
  4. Step 4: Simplify right side
    9,265.20x = 51,691,477.32
  5. Step 5: Solve for x
    x = 51,691,477.32/9,265.20
  6. Step 6: Final answer
    x = 5,579.10

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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.