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Finding the Fourth Proportional to 21,978.41, 30,328.70 and 12,287.23

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Solution

The fourth proportional to 21,978.41, 30,328.70 and 12,287.23 is: 16,955.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.41 : 30,328.70 = 12,287.23 : x
  2. Step 2: Convert to fraction form
    21,978.41/30,328.70 = 12,287.23/x
  3. Step 3: Cross multiply
    21,978.41x = 30,328.70 × 12,287.23
  4. Step 4: Simplify right side
    21,978.41x = 372,655,575.24
  5. Step 5: Solve for x
    x = 372,655,575.24/21,978.41
  6. Step 6: Final answer
    x = 16,955.53

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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.