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Finding the Fourth Proportional to 11,228, 16,835.52 and 4,988

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Solution

The fourth proportional to 11,228, 16,835.52 and 4,988 is: 7,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,228 : 16,835.52 = 4,988 : x
  2. Step 2: Convert to fraction form
    11,228/16,835.52 = 4,988/x
  3. Step 3: Cross multiply
    11,228x = 16,835.52 × 4,988
  4. Step 4: Simplify right side
    11,228x = 83,975,573.76
  5. Step 5: Solve for x
    x = 83,975,573.76/11,228
  6. Step 6: Final answer
    x = 7,479.12

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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.