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Finding the Fourth Proportional to 12,554.68, 18,740.31 and 11,641

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Solution

The fourth proportional to 12,554.68, 18,740.31 and 11,641 is: 17,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,554.68 : 18,740.31 = 11,641 : x
  2. Step 2: Convert to fraction form
    12,554.68/18,740.31 = 11,641/x
  3. Step 3: Cross multiply
    12,554.68x = 18,740.31 × 11,641
  4. Step 4: Simplify right side
    12,554.68x = 218,155,948.71
  5. Step 5: Solve for x
    x = 218,155,948.71/12,554.68
  6. Step 6: Final answer
    x = 17,376.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.