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Finding the Fourth Proportional to 11,200.98, 16,805.10 and 5,358

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Solution

The fourth proportional to 11,200.98, 16,805.10 and 5,358 is: 8,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.98 : 16,805.10 = 5,358 : x
  2. Step 2: Convert to fraction form
    11,200.98/16,805.10 = 5,358/x
  3. Step 3: Cross multiply
    11,200.98x = 16,805.10 × 5,358
  4. Step 4: Simplify right side
    11,200.98x = 90,041,725.80
  5. Step 5: Solve for x
    x = 90,041,725.80/11,200.98
  6. Step 6: Final answer
    x = 8,038.74

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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.