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Finding the Fourth Proportional to 15,276.72, 22,911.78 and 5,416.32

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Solution

The fourth proportional to 15,276.72, 22,911.78 and 5,416.32 is: 8,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,276.72 : 22,911.78 = 5,416.32 : x
  2. Step 2: Convert to fraction form
    15,276.72/22,911.78 = 5,416.32/x
  3. Step 3: Cross multiply
    15,276.72x = 22,911.78 × 5,416.32
  4. Step 4: Simplify right side
    15,276.72x = 124,097,532.25
  5. Step 5: Solve for x
    x = 124,097,532.25/15,276.72
  6. Step 6: Final answer
    x = 8,123.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.