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Finding the Fourth Proportional to 2,345.60, 3,500 and 2,138.64

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Solution

The fourth proportional to 2,345.60, 3,500 and 2,138.64 is: 3,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.60 : 3,500 = 2,138.64 : x
  2. Step 2: Convert to fraction form
    2,345.60/3,500 = 2,138.64/x
  3. Step 3: Cross multiply
    2,345.60x = 3,500 × 2,138.64
  4. Step 4: Simplify right side
    2,345.60x = 7,485,240
  5. Step 5: Solve for x
    x = 7,485,240/2,345.60
  6. Step 6: Final answer
    x = 3,191.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.