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Finding the Fourth Proportional to 2,903.56, 4,007.56 and 1,785.47

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Solution

The fourth proportional to 2,903.56, 4,007.56 and 1,785.47 is: 2,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.56 : 4,007.56 = 1,785.47 : x
  2. Step 2: Convert to fraction form
    2,903.56/4,007.56 = 1,785.47/x
  3. Step 3: Cross multiply
    2,903.56x = 4,007.56 × 1,785.47
  4. Step 4: Simplify right side
    2,903.56x = 7,155,358.12
  5. Step 5: Solve for x
    x = 7,155,358.12/2,903.56
  6. Step 6: Final answer
    x = 2,464.34

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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.