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Finding the Fourth Proportional to 2,670.47, 3,684.17 and 1,774.64

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Solution

The fourth proportional to 2,670.47, 3,684.17 and 1,774.64 is: 2,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.47 : 3,684.17 = 1,774.64 : x
  2. Step 2: Convert to fraction form
    2,670.47/3,684.17 = 1,774.64/x
  3. Step 3: Cross multiply
    2,670.47x = 3,684.17 × 1,774.64
  4. Step 4: Simplify right side
    2,670.47x = 6,538,048.15
  5. Step 5: Solve for x
    x = 6,538,048.15/2,670.47
  6. Step 6: Final answer
    x = 2,448.28

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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.