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Finding the Fourth Proportional to 21,780, 30,054.78 and 12,348.36

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Solution

The fourth proportional to 21,780, 30,054.78 and 12,348.36 is: 17,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780 : 30,054.78 = 12,348.36 : x
  2. Step 2: Convert to fraction form
    21,780/30,054.78 = 12,348.36/x
  3. Step 3: Cross multiply
    21,780x = 30,054.78 × 12,348.36
  4. Step 4: Simplify right side
    21,780x = 371,127,243.16
  5. Step 5: Solve for x
    x = 371,127,243.16/21,780
  6. Step 6: Final answer
    x = 17,039.82

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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.