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Finding the Fourth Proportional to 28,006.76, 38,655 and 16,078.29

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Solution

The fourth proportional to 28,006.76, 38,655 and 16,078.29 is: 22,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,006.76 : 38,655 = 16,078.29 : x
  2. Step 2: Convert to fraction form
    28,006.76/38,655 = 16,078.29/x
  3. Step 3: Cross multiply
    28,006.76x = 38,655 × 16,078.29
  4. Step 4: Simplify right side
    28,006.76x = 621,506,299.95
  5. Step 5: Solve for x
    x = 621,506,299.95/28,006.76
  6. Step 6: Final answer
    x = 22,191.30

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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.