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Finding the Fourth Proportional to 10,069.68, 13,891.32 and 7,827.60

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Solution

The fourth proportional to 10,069.68, 13,891.32 and 7,827.60 is: 10,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.68 : 13,891.32 = 7,827.60 : x
  2. Step 2: Convert to fraction form
    10,069.68/13,891.32 = 7,827.60/x
  3. Step 3: Cross multiply
    10,069.68x = 13,891.32 × 7,827.60
  4. Step 4: Simplify right side
    10,069.68x = 108,735,696.43
  5. Step 5: Solve for x
    x = 108,735,696.43/10,069.68
  6. Step 6: Final answer
    x = 10,798.33

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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.