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Finding the Fourth Proportional to 12,975.65, 17,906.39 and 7,007.32

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Solution

The fourth proportional to 12,975.65, 17,906.39 and 7,007.32 is: 9,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975.65 : 17,906.39 = 7,007.32 : x
  2. Step 2: Convert to fraction form
    12,975.65/17,906.39 = 7,007.32/x
  3. Step 3: Cross multiply
    12,975.65x = 17,906.39 × 7,007.32
  4. Step 4: Simplify right side
    12,975.65x = 125,475,763.90
  5. Step 5: Solve for x
    x = 125,475,763.90/12,975.65
  6. Step 6: Final answer
    x = 9,670.10

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1.5x scale

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.