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Finding the Fourth Proportional to 11,915.60, 17,867.57 and 4,899.08

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Solution

The fourth proportional to 11,915.60, 17,867.57 and 4,899.08 is: 7,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.60 : 17,867.57 = 4,899.08 : x
  2. Step 2: Convert to fraction form
    11,915.60/17,867.57 = 4,899.08/x
  3. Step 3: Cross multiply
    11,915.60x = 17,867.57 × 4,899.08
  4. Step 4: Simplify right side
    11,915.60x = 87,534,675.01
  5. Step 5: Solve for x
    x = 87,534,675.01/11,915.60
  6. Step 6: Final answer
    x = 7,346.23

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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.