Home / 4,140-5,713.32-2,277.12

Finding the Fourth Proportional to 4,140, 5,713.32 and 2,277.12

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Solution

The fourth proportional to 4,140, 5,713.32 and 2,277.12 is: 3,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 5,713.32 = 2,277.12 : x
  2. Step 2: Convert to fraction form
    4,140/5,713.32 = 2,277.12/x
  3. Step 3: Cross multiply
    4,140x = 5,713.32 × 2,277.12
  4. Step 4: Simplify right side
    4,140x = 13,009,915.24
  5. Step 5: Solve for x
    x = 13,009,915.24/4,140
  6. Step 6: Final answer
    x = 3,142.49

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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.