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Finding the Fourth Proportional to 11,945.76, 17,904 and 9,014.88

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Solution

The fourth proportional to 11,945.76, 17,904 and 9,014.88 is: 13,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.76 : 17,904 = 9,014.88 : x
  2. Step 2: Convert to fraction form
    11,945.76/17,904 = 9,014.88/x
  3. Step 3: Cross multiply
    11,945.76x = 17,904 × 9,014.88
  4. Step 4: Simplify right side
    11,945.76x = 161,402,411.52
  5. Step 5: Solve for x
    x = 161,402,411.52/11,945.76
  6. Step 6: Final answer
    x = 13,511.27

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1.5x scale

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.