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Finding the Fourth Proportional to 3,756.76, 5,184.14 and 2,078.08

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Solution

The fourth proportional to 3,756.76, 5,184.14 and 2,078.08 is: 2,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.76 : 5,184.14 = 2,078.08 : x
  2. Step 2: Convert to fraction form
    3,756.76/5,184.14 = 2,078.08/x
  3. Step 3: Cross multiply
    3,756.76x = 5,184.14 × 2,078.08
  4. Step 4: Simplify right side
    3,756.76x = 10,773,047.26
  5. Step 5: Solve for x
    x = 10,773,047.26/3,756.76
  6. Step 6: Final answer
    x = 2,867.64

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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.