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Finding the Fourth Proportional to 15,929.19, 21,980.50 and 9,213.82

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Solution

The fourth proportional to 15,929.19, 21,980.50 and 9,213.82 is: 12,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.19 : 21,980.50 = 9,213.82 : x
  2. Step 2: Convert to fraction form
    15,929.19/21,980.50 = 9,213.82/x
  3. Step 3: Cross multiply
    15,929.19x = 21,980.50 × 9,213.82
  4. Step 4: Simplify right side
    15,929.19x = 202,524,292.52
  5. Step 5: Solve for x
    x = 202,524,292.52/15,929.19
  6. Step 6: Final answer
    x = 12,714.04

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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.