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Finding the Fourth Proportional to 11,237.56, 16,858.74 and 4,312

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Solution

The fourth proportional to 11,237.56, 16,858.74 and 4,312 is: 6,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,237.56 : 16,858.74 = 4,312 : x
  2. Step 2: Convert to fraction form
    11,237.56/16,858.74 = 4,312/x
  3. Step 3: Cross multiply
    11,237.56x = 16,858.74 × 4,312
  4. Step 4: Simplify right side
    11,237.56x = 72,694,886.88
  5. Step 5: Solve for x
    x = 72,694,886.88/11,237.56
  6. Step 6: Final answer
    x = 6,468.92

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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.