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Finding the Fourth Proportional to 9,984.74, 14,978.44 and 3,409.16

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Solution

The fourth proportional to 9,984.74, 14,978.44 and 3,409.16 is: 5,114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.74 : 14,978.44 = 3,409.16 : x
  2. Step 2: Convert to fraction form
    9,984.74/14,978.44 = 3,409.16/x
  3. Step 3: Cross multiply
    9,984.74x = 14,978.44 × 3,409.16
  4. Step 4: Simplify right side
    9,984.74x = 51,063,898.51
  5. Step 5: Solve for x
    x = 51,063,898.51/9,984.74
  6. Step 6: Final answer
    x = 5,114.19

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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.