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Finding the Fourth Proportional to 9,979.71, 14,970.72 and 3,316.80

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Solution

The fourth proportional to 9,979.71, 14,970.72 and 3,316.80 is: 4,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,979.71 : 14,970.72 = 3,316.80 : x
  2. Step 2: Convert to fraction form
    9,979.71/14,970.72 = 3,316.80/x
  3. Step 3: Cross multiply
    9,979.71x = 14,970.72 × 3,316.80
  4. Step 4: Simplify right side
    9,979.71x = 49,654,952.67
  5. Step 5: Solve for x
    x = 49,654,952.67/9,979.71
  6. Step 6: Final answer
    x = 4,975.59

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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.