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Finding the Fourth Proportional to 11,447.63, 17,143.76 and 9,897.59

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Solution

The fourth proportional to 11,447.63, 17,143.76 and 9,897.59 is: 14,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.63 : 17,143.76 = 9,897.59 : x
  2. Step 2: Convert to fraction form
    11,447.63/17,143.76 = 9,897.59/x
  3. Step 3: Cross multiply
    11,447.63x = 17,143.76 × 9,897.59
  4. Step 4: Simplify right side
    11,447.63x = 169,681,858.05
  5. Step 5: Solve for x
    x = 169,681,858.05/11,447.63
  6. Step 6: Final answer
    x = 14,822.45

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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.