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Finding the Fourth Proportional to 12,897.84, 19,321.86 and 9,514.68

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Solution

The fourth proportional to 12,897.84, 19,321.86 and 9,514.68 is: 14,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.84 : 19,321.86 = 9,514.68 : x
  2. Step 2: Convert to fraction form
    12,897.84/19,321.86 = 9,514.68/x
  3. Step 3: Cross multiply
    12,897.84x = 19,321.86 × 9,514.68
  4. Step 4: Simplify right side
    12,897.84x = 183,841,314.90
  5. Step 5: Solve for x
    x = 183,841,314.90/12,897.84
  6. Step 6: Final answer
    x = 14,253.65

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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.