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Finding the Fourth Proportional to 21,822.30, 30,114.05 and 12,390.26

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Solution

The fourth proportional to 21,822.30, 30,114.05 and 12,390.26 is: 17,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.30 : 30,114.05 = 12,390.26 : x
  2. Step 2: Convert to fraction form
    21,822.30/30,114.05 = 12,390.26/x
  3. Step 3: Cross multiply
    21,822.30x = 30,114.05 × 12,390.26
  4. Step 4: Simplify right side
    21,822.30x = 373,120,696.63
  5. Step 5: Solve for x
    x = 373,120,696.63/21,822.30
  6. Step 6: Final answer
    x = 17,098.14

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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.