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Finding the Fourth Proportional to 11,228.64, 16,843 and 3,437.42

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Solution

The fourth proportional to 11,228.64, 16,843 and 3,437.42 is: 5,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228.64 : 16,843 = 3,437.42 : x
  2. Step 2: Convert to fraction form
    11,228.64/16,843 = 3,437.42/x
  3. Step 3: Cross multiply
    11,228.64x = 16,843 × 3,437.42
  4. Step 4: Simplify right side
    11,228.64x = 57,896,465.06
  5. Step 5: Solve for x
    x = 57,896,465.06/11,228.64
  6. Step 6: Final answer
    x = 5,156.14

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1.5x scale

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.