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Finding the Fourth Proportional to 21,841.20, 30,142.80 and 12,412.80

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Solution

The fourth proportional to 21,841.20, 30,142.80 and 12,412.80 is: 17,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.20 : 30,142.80 = 12,412.80 : x
  2. Step 2: Convert to fraction form
    21,841.20/30,142.80 = 12,412.80/x
  3. Step 3: Cross multiply
    21,841.20x = 30,142.80 × 12,412.80
  4. Step 4: Simplify right side
    21,841.20x = 374,156,547.84
  5. Step 5: Solve for x
    x = 374,156,547.84/21,841.20
  6. Step 6: Final answer
    x = 17,130.77

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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.