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Finding the Fourth Proportional to 2,609.76, 3,601.47 and 1,430.90

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Solution

The fourth proportional to 2,609.76, 3,601.47 and 1,430.90 is: 1,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.76 : 3,601.47 = 1,430.90 : x
  2. Step 2: Convert to fraction form
    2,609.76/3,601.47 = 1,430.90/x
  3. Step 3: Cross multiply
    2,609.76x = 3,601.47 × 1,430.90
  4. Step 4: Simplify right side
    2,609.76x = 5,153,343.42
  5. Step 5: Solve for x
    x = 5,153,343.42/2,609.76
  6. Step 6: Final answer
    x = 1,974.64

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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.