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Finding the Fourth Proportional to 2,609.81, 3,601.53 and 1,430.87

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Solution

The fourth proportional to 2,609.81, 3,601.53 and 1,430.87 is: 1,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.81 : 3,601.53 = 1,430.87 : x
  2. Step 2: Convert to fraction form
    2,609.81/3,601.53 = 1,430.87/x
  3. Step 3: Cross multiply
    2,609.81x = 3,601.53 × 1,430.87
  4. Step 4: Simplify right side
    2,609.81x = 5,153,330.23
  5. Step 5: Solve for x
    x = 5,153,330.23/2,609.81
  6. Step 6: Final answer
    x = 1,974.60

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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.