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Finding the Fourth Proportional to 7,284, 10,053.09 and 4,142.10

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Solution

The fourth proportional to 7,284, 10,053.09 and 4,142.10 is: 5,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284 : 10,053.09 = 4,142.10 : x
  2. Step 2: Convert to fraction form
    7,284/10,053.09 = 4,142.10/x
  3. Step 3: Cross multiply
    7,284x = 10,053.09 × 4,142.10
  4. Step 4: Simplify right side
    7,284x = 41,640,904.09
  5. Step 5: Solve for x
    x = 41,640,904.09/7,284
  6. Step 6: Final answer
    x = 5,716.76

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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.