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Finding the Fourth Proportional to 9,980.82, 14,967 and 4,430.34

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Solution

The fourth proportional to 9,980.82, 14,967 and 4,430.34 is: 6,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.82 : 14,967 = 4,430.34 : x
  2. Step 2: Convert to fraction form
    9,980.82/14,967 = 4,430.34/x
  3. Step 3: Cross multiply
    9,980.82x = 14,967 × 4,430.34
  4. Step 4: Simplify right side
    9,980.82x = 66,308,898.78
  5. Step 5: Solve for x
    x = 66,308,898.78/9,980.82
  6. Step 6: Final answer
    x = 6,643.63

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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.