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Finding the Fourth Proportional to 15,723.69, 21,696.93 and 9,007.49

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Solution

The fourth proportional to 15,723.69, 21,696.93 and 9,007.49 is: 12,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723.69 : 21,696.93 = 9,007.49 : x
  2. Step 2: Convert to fraction form
    15,723.69/21,696.93 = 9,007.49/x
  3. Step 3: Cross multiply
    15,723.69x = 21,696.93 × 9,007.49
  4. Step 4: Simplify right side
    15,723.69x = 195,434,771.52
  5. Step 5: Solve for x
    x = 195,434,771.52/15,723.69
  6. Step 6: Final answer
    x = 12,429.32

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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.