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Finding the Fourth Proportional to 11,849.76, 16,354.80 and 9,857.76

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Solution

The fourth proportional to 11,849.76, 16,354.80 and 9,857.76 is: 13,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.76 : 16,354.80 = 9,857.76 : x
  2. Step 2: Convert to fraction form
    11,849.76/16,354.80 = 9,857.76/x
  3. Step 3: Cross multiply
    11,849.76x = 16,354.80 × 9,857.76
  4. Step 4: Simplify right side
    11,849.76x = 161,221,693.25
  5. Step 5: Solve for x
    x = 161,221,693.25/11,849.76
  6. Step 6: Final answer
    x = 13,605.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.