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Finding the Fourth Proportional to 9,978, 14,967.08 and 4,429.86

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Solution

The fourth proportional to 9,978, 14,967.08 and 4,429.86 is: 6,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978 : 14,967.08 = 4,429.86 : x
  2. Step 2: Convert to fraction form
    9,978/14,967.08 = 4,429.86/x
  3. Step 3: Cross multiply
    9,978x = 14,967.08 × 4,429.86
  4. Step 4: Simplify right side
    9,978x = 66,301,972.02
  5. Step 5: Solve for x
    x = 66,301,972.02/9,978
  6. Step 6: Final answer
    x = 6,644.82

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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.