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Finding the Fourth Proportional to 2,406.40, 3,606.40 and 1,785.23

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Solution

The fourth proportional to 2,406.40, 3,606.40 and 1,785.23 is: 2,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.40 : 3,606.40 = 1,785.23 : x
  2. Step 2: Convert to fraction form
    2,406.40/3,606.40 = 1,785.23/x
  3. Step 3: Cross multiply
    2,406.40x = 3,606.40 × 1,785.23
  4. Step 4: Simplify right side
    2,406.40x = 6,438,253.47
  5. Step 5: Solve for x
    x = 6,438,253.47/2,406.40
  6. Step 6: Final answer
    x = 2,675.47

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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.