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Finding the Fourth Proportional to 28,174, 42,261.60 and 10,652.08

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Solution

The fourth proportional to 28,174, 42,261.60 and 10,652.08 is: 15,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,174 : 42,261.60 = 10,652.08 : x
  2. Step 2: Convert to fraction form
    28,174/42,261.60 = 10,652.08/x
  3. Step 3: Cross multiply
    28,174x = 42,261.60 × 10,652.08
  4. Step 4: Simplify right side
    28,174x = 450,173,944.13
  5. Step 5: Solve for x
    x = 450,173,944.13/28,174
  6. Step 6: Final answer
    x = 15,978.35

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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.