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Finding the Fourth Proportional to 42,840, 64,260.84 and 11,676.06

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Solution

The fourth proportional to 42,840, 64,260.84 and 11,676.06 is: 17,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,840 : 64,260.84 = 11,676.06 : x
  2. Step 2: Convert to fraction form
    42,840/64,260.84 = 11,676.06/x
  3. Step 3: Cross multiply
    42,840x = 64,260.84 × 11,676.06
  4. Step 4: Simplify right side
    42,840x = 750,313,423.49
  5. Step 5: Solve for x
    x = 750,313,423.49/42,840
  6. Step 6: Final answer
    x = 17,514.32

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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.