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Finding the Fourth Proportional to 11,583, 15,985.76 and 7,105.73

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Solution

The fourth proportional to 11,583, 15,985.76 and 7,105.73 is: 9,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583 : 15,985.76 = 7,105.73 : x
  2. Step 2: Convert to fraction form
    11,583/15,985.76 = 7,105.73/x
  3. Step 3: Cross multiply
    11,583x = 15,985.76 × 7,105.73
  4. Step 4: Simplify right side
    11,583x = 113,590,378.95
  5. Step 5: Solve for x
    x = 113,590,378.95/11,583
  6. Step 6: Final answer
    x = 9,806.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.