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Finding the Fourth Proportional to 12,374.48, 18,548.76 and 4,977.20

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Solution

The fourth proportional to 12,374.48, 18,548.76 and 4,977.20 is: 7,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.48 : 18,548.76 = 4,977.20 : x
  2. Step 2: Convert to fraction form
    12,374.48/18,548.76 = 4,977.20/x
  3. Step 3: Cross multiply
    12,374.48x = 18,548.76 × 4,977.20
  4. Step 4: Simplify right side
    12,374.48x = 92,320,888.27
  5. Step 5: Solve for x
    x = 92,320,888.27/12,374.48
  6. Step 6: Final answer
    x = 7,460.59

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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.