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Finding the Fourth Proportional to 17,641, 26,461.50 and 7,913

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Solution

The fourth proportional to 17,641, 26,461.50 and 7,913 is: 11,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641 : 26,461.50 = 7,913 : x
  2. Step 2: Convert to fraction form
    17,641/26,461.50 = 7,913/x
  3. Step 3: Cross multiply
    17,641x = 26,461.50 × 7,913
  4. Step 4: Simplify right side
    17,641x = 209,389,849.50
  5. Step 5: Solve for x
    x = 209,389,849.50/17,641
  6. Step 6: Final answer
    x = 11,869.50

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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.