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Finding the Fourth Proportional to 2,340.64, 3,230.16 and 1,346.08

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Solution

The fourth proportional to 2,340.64, 3,230.16 and 1,346.08 is: 1,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.64 : 3,230.16 = 1,346.08 : x
  2. Step 2: Convert to fraction form
    2,340.64/3,230.16 = 1,346.08/x
  3. Step 3: Cross multiply
    2,340.64x = 3,230.16 × 1,346.08
  4. Step 4: Simplify right side
    2,340.64x = 4,348,053.77
  5. Step 5: Solve for x
    x = 4,348,053.77/2,340.64
  6. Step 6: Final answer
    x = 1,857.63

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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.