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Finding the Fourth Proportional to 28,461.82, 42,699.08 and 8,742.37

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Solution

The fourth proportional to 28,461.82, 42,699.08 and 8,742.37 is: 13,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,461.82 : 42,699.08 = 8,742.37 : x
  2. Step 2: Convert to fraction form
    28,461.82/42,699.08 = 8,742.37/x
  3. Step 3: Cross multiply
    28,461.82x = 42,699.08 × 8,742.37
  4. Step 4: Simplify right side
    28,461.82x = 373,291,156.02
  5. Step 5: Solve for x
    x = 373,291,156.02/28,461.82
  6. Step 6: Final answer
    x = 13,115.51

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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.