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Finding the Fourth Proportional to 2,475.72, 3,417 and 1,427.64

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Solution

The fourth proportional to 2,475.72, 3,417 and 1,427.64 is: 1,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.72 : 3,417 = 1,427.64 : x
  2. Step 2: Convert to fraction form
    2,475.72/3,417 = 1,427.64/x
  3. Step 3: Cross multiply
    2,475.72x = 3,417 × 1,427.64
  4. Step 4: Simplify right side
    2,475.72x = 4,878,245.88
  5. Step 5: Solve for x
    x = 4,878,245.88/2,475.72
  6. Step 6: Final answer
    x = 1,970.44

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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.