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Finding the Fourth Proportional to 15,875.76, 23,813.64 and 7,662

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Solution

The fourth proportional to 15,875.76, 23,813.64 and 7,662 is: 11,493

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.76 : 23,813.64 = 7,662 : x
  2. Step 2: Convert to fraction form
    15,875.76/23,813.64 = 7,662/x
  3. Step 3: Cross multiply
    15,875.76x = 23,813.64 × 7,662
  4. Step 4: Simplify right side
    15,875.76x = 182,460,109.68
  5. Step 5: Solve for x
    x = 182,460,109.68/15,875.76
  6. Step 6: Final answer
    x = 11,493

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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.