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Finding the Fourth Proportional to 42,809.76, 64,208.16 and 11,647.44

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Solution

The fourth proportional to 42,809.76, 64,208.16 and 11,647.44 is: 17,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,809.76 : 64,208.16 = 11,647.44 : x
  2. Step 2: Convert to fraction form
    42,809.76/64,208.16 = 11,647.44/x
  3. Step 3: Cross multiply
    42,809.76x = 64,208.16 × 11,647.44
  4. Step 4: Simplify right side
    42,809.76x = 747,860,691.11
  5. Step 5: Solve for x
    x = 747,860,691.11/42,809.76
  6. Step 6: Final answer
    x = 17,469.40

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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.