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Finding the Fourth Proportional to 2,427.58, 3,349.90 and 1,432.90

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Solution

The fourth proportional to 2,427.58, 3,349.90 and 1,432.90 is: 1,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.58 : 3,349.90 = 1,432.90 : x
  2. Step 2: Convert to fraction form
    2,427.58/3,349.90 = 1,432.90/x
  3. Step 3: Cross multiply
    2,427.58x = 3,349.90 × 1,432.90
  4. Step 4: Simplify right side
    2,427.58x = 4,800,071.71
  5. Step 5: Solve for x
    x = 4,800,071.71/2,427.58
  6. Step 6: Final answer
    x = 1,977.31

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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.