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Finding the Fourth Proportional to 12,106.97, 18,148.52 and 5,088.98

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Solution

The fourth proportional to 12,106.97, 18,148.52 and 5,088.98 is: 7,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.97 : 18,148.52 = 5,088.98 : x
  2. Step 2: Convert to fraction form
    12,106.97/18,148.52 = 5,088.98/x
  3. Step 3: Cross multiply
    12,106.97x = 18,148.52 × 5,088.98
  4. Step 4: Simplify right side
    12,106.97x = 92,357,377.29
  5. Step 5: Solve for x
    x = 92,357,377.29/12,106.97
  6. Step 6: Final answer
    x = 7,628.45

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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.