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Finding the Fourth Proportional to 2,342.64, 3,232.62 and 1,398.72

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Solution

The fourth proportional to 2,342.64, 3,232.62 and 1,398.72 is: 1,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.64 : 3,232.62 = 1,398.72 : x
  2. Step 2: Convert to fraction form
    2,342.64/3,232.62 = 1,398.72/x
  3. Step 3: Cross multiply
    2,342.64x = 3,232.62 × 1,398.72
  4. Step 4: Simplify right side
    2,342.64x = 4,521,530.25
  5. Step 5: Solve for x
    x = 4,521,530.25/2,342.64
  6. Step 6: Final answer
    x = 1,930.10

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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.