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Finding the Fourth Proportional to 2,609.76, 3,601.40 and 1,430.84

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Solution

The fourth proportional to 2,609.76, 3,601.40 and 1,430.84 is: 1,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.76 : 3,601.40 = 1,430.84 : x
  2. Step 2: Convert to fraction form
    2,609.76/3,601.40 = 1,430.84/x
  3. Step 3: Cross multiply
    2,609.76x = 3,601.40 × 1,430.84
  4. Step 4: Simplify right side
    2,609.76x = 5,153,027.18
  5. Step 5: Solve for x
    x = 5,153,027.18/2,609.76
  6. Step 6: Final answer
    x = 1,974.52

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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.