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Finding the Fourth Proportional to 12,400.74, 17,113.32 and 7,097.27

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Solution

The fourth proportional to 12,400.74, 17,113.32 and 7,097.27 is: 9,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.74 : 17,113.32 = 7,097.27 : x
  2. Step 2: Convert to fraction form
    12,400.74/17,113.32 = 7,097.27/x
  3. Step 3: Cross multiply
    12,400.74x = 17,113.32 × 7,097.27
  4. Step 4: Simplify right side
    12,400.74x = 121,457,784.81
  5. Step 5: Solve for x
    x = 121,457,784.81/12,400.74
  6. Step 6: Final answer
    x = 9,794.40

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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.