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Finding the Fourth Proportional to 1,640.76, 2,460.42 and 1,558.68

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Solution

The fourth proportional to 1,640.76, 2,460.42 and 1,558.68 is: 2,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.76 : 2,460.42 = 1,558.68 : x
  2. Step 2: Convert to fraction form
    1,640.76/2,460.42 = 1,558.68/x
  3. Step 3: Cross multiply
    1,640.76x = 2,460.42 × 1,558.68
  4. Step 4: Simplify right side
    1,640.76x = 3,835,007.45
  5. Step 5: Solve for x
    x = 3,835,007.45/1,640.76
  6. Step 6: Final answer
    x = 2,337.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.