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Finding the Fourth Proportional to 15,315.56, 22,977 and 4,927.28

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Solution

The fourth proportional to 15,315.56, 22,977 and 4,927.28 is: 7,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,315.56 : 22,977 = 4,927.28 : x
  2. Step 2: Convert to fraction form
    15,315.56/22,977 = 4,927.28/x
  3. Step 3: Cross multiply
    15,315.56x = 22,977 × 4,927.28
  4. Step 4: Simplify right side
    15,315.56x = 113,214,112.56
  5. Step 5: Solve for x
    x = 113,214,112.56/15,315.56
  6. Step 6: Final answer
    x = 7,392.10

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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.