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Finding the Fourth Proportional to 11,248.64, 16,871.68 and 3,040

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Solution

The fourth proportional to 11,248.64, 16,871.68 and 3,040 is: 4,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,248.64 : 16,871.68 = 3,040 : x
  2. Step 2: Convert to fraction form
    11,248.64/16,871.68 = 3,040/x
  3. Step 3: Cross multiply
    11,248.64x = 16,871.68 × 3,040
  4. Step 4: Simplify right side
    11,248.64x = 51,289,907.20
  5. Step 5: Solve for x
    x = 51,289,907.20/11,248.64
  6. Step 6: Final answer
    x = 4,559.65

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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.