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Finding the Fourth Proportional to 9,918, 13,686.82 and 5,441.78

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Solution

The fourth proportional to 9,918, 13,686.82 and 5,441.78 is: 7,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918 : 13,686.82 = 5,441.78 : x
  2. Step 2: Convert to fraction form
    9,918/13,686.82 = 5,441.78/x
  3. Step 3: Cross multiply
    9,918x = 13,686.82 × 5,441.78
  4. Step 4: Simplify right side
    9,918x = 74,480,663.34
  5. Step 5: Solve for x
    x = 74,480,663.34/9,918
  6. Step 6: Final answer
    x = 7,509.65

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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.