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Finding the Fourth Proportional to 21,780, 30,056.40 and 12,348.60

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Solution

The fourth proportional to 21,780, 30,056.40 and 12,348.60 is: 17,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780 : 30,056.40 = 12,348.60 : x
  2. Step 2: Convert to fraction form
    21,780/30,056.40 = 12,348.60/x
  3. Step 3: Cross multiply
    21,780x = 30,056.40 × 12,348.60
  4. Step 4: Simplify right side
    21,780x = 371,154,461.04
  5. Step 5: Solve for x
    x = 371,154,461.04/21,780
  6. Step 6: Final answer
    x = 17,041.07

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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.