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Finding the Fourth Proportional to 12,972.94, 17,897.35 and 9,578.08

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Solution

The fourth proportional to 12,972.94, 17,897.35 and 9,578.08 is: 13,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.94 : 17,897.35 = 9,578.08 : x
  2. Step 2: Convert to fraction form
    12,972.94/17,897.35 = 9,578.08/x
  3. Step 3: Cross multiply
    12,972.94x = 17,897.35 × 9,578.08
  4. Step 4: Simplify right side
    12,972.94x = 171,422,250.09
  5. Step 5: Solve for x
    x = 171,422,250.09/12,972.94
  6. Step 6: Final answer
    x = 13,213.83

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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.