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Finding the Fourth Proportional to 9,978, 13,769.47 and 5,502.16

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Solution

The fourth proportional to 9,978, 13,769.47 and 5,502.16 is: 7,592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978 : 13,769.47 = 5,502.16 : x
  2. Step 2: Convert to fraction form
    9,978/13,769.47 = 5,502.16/x
  3. Step 3: Cross multiply
    9,978x = 13,769.47 × 5,502.16
  4. Step 4: Simplify right side
    9,978x = 75,761,827.06
  5. Step 5: Solve for x
    x = 75,761,827.06/9,978
  6. Step 6: Final answer
    x = 7,592.89

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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.