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Finding the Fourth Proportional to 11,555.76, 15,937.88 and 9,965.04

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Solution

The fourth proportional to 11,555.76, 15,937.88 and 9,965.04 is: 13,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.76 : 15,937.88 = 9,965.04 : x
  2. Step 2: Convert to fraction form
    11,555.76/15,937.88 = 9,965.04/x
  3. Step 3: Cross multiply
    11,555.76x = 15,937.88 × 9,965.04
  4. Step 4: Simplify right side
    11,555.76x = 158,821,611.72
  5. Step 5: Solve for x
    x = 158,821,611.72/11,555.76
  6. Step 6: Final answer
    x = 13,743.93

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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.