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Finding the Fourth Proportional to 28,422.60, 42,609.59 and 10,905

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Solution

The fourth proportional to 28,422.60, 42,609.59 and 10,905 is: 16,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,422.60 : 42,609.59 = 10,905 : x
  2. Step 2: Convert to fraction form
    28,422.60/42,609.59 = 10,905/x
  3. Step 3: Cross multiply
    28,422.60x = 42,609.59 × 10,905
  4. Step 4: Simplify right side
    28,422.60x = 464,657,578.95
  5. Step 5: Solve for x
    x = 464,657,578.95/28,422.60
  6. Step 6: Final answer
    x = 16,348.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.