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Finding the Fourth Proportional to 12,965.76, 17,897.76 and 8,254.08

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Solution

The fourth proportional to 12,965.76, 17,897.76 and 8,254.08 is: 11,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.76 : 17,897.76 = 8,254.08 : x
  2. Step 2: Convert to fraction form
    12,965.76/17,897.76 = 8,254.08/x
  3. Step 3: Cross multiply
    12,965.76x = 17,897.76 × 8,254.08
  4. Step 4: Simplify right side
    12,965.76x = 147,729,542.86
  5. Step 5: Solve for x
    x = 147,729,542.86/12,965.76
  6. Step 6: Final answer
    x = 11,393.82

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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.