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Finding the Fourth Proportional to 28,169, 42,254.10 and 10,647.08

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Solution

The fourth proportional to 28,169, 42,254.10 and 10,647.08 is: 15,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,169 : 42,254.10 = 10,647.08 : x
  2. Step 2: Convert to fraction form
    28,169/42,254.10 = 10,647.08/x
  3. Step 3: Cross multiply
    28,169x = 42,254.10 × 10,647.08
  4. Step 4: Simplify right side
    28,169x = 449,882,783.03
  5. Step 5: Solve for x
    x = 449,882,783.03/28,169
  6. Step 6: Final answer
    x = 15,970.85

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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.