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Finding the Fourth Proportional to 21,888.50, 30,205.10 and 12,328.47

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Solution

The fourth proportional to 21,888.50, 30,205.10 and 12,328.47 is: 17,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,888.50 : 30,205.10 = 12,328.47 : x
  2. Step 2: Convert to fraction form
    21,888.50/30,205.10 = 12,328.47/x
  3. Step 3: Cross multiply
    21,888.50x = 30,205.10 × 12,328.47
  4. Step 4: Simplify right side
    21,888.50x = 372,382,700.02
  5. Step 5: Solve for x
    x = 372,382,700.02/21,888.50
  6. Step 6: Final answer
    x = 17,012.71

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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.