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Finding the Fourth Proportional to 12,435.58, 18,653.76 and 4,116.06

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Solution

The fourth proportional to 12,435.58, 18,653.76 and 4,116.06 is: 6,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.58 : 18,653.76 = 4,116.06 : x
  2. Step 2: Convert to fraction form
    12,435.58/18,653.76 = 4,116.06/x
  3. Step 3: Cross multiply
    12,435.58x = 18,653.76 × 4,116.06
  4. Step 4: Simplify right side
    12,435.58x = 76,779,995.39
  5. Step 5: Solve for x
    x = 76,779,995.39/12,435.58
  6. Step 6: Final answer
    x = 6,174.22

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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.