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Finding the Fourth Proportional to 12,374.64, 18,557.64 and 4,977.18

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Solution

The fourth proportional to 12,374.64, 18,557.64 and 4,977.18 is: 7,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.64 : 18,557.64 = 4,977.18 : x
  2. Step 2: Convert to fraction form
    12,374.64/18,557.64 = 4,977.18/x
  3. Step 3: Cross multiply
    12,374.64x = 18,557.64 × 4,977.18
  4. Step 4: Simplify right side
    12,374.64x = 92,364,714.66
  5. Step 5: Solve for x
    x = 92,364,714.66/12,374.64
  6. Step 6: Final answer
    x = 7,464.03

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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.