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Finding the Fourth Proportional to 2,904.08, 4,007.04 and 1,785.20

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Solution

The fourth proportional to 2,904.08, 4,007.04 and 1,785.20 is: 2,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.08 : 4,007.04 = 1,785.20 : x
  2. Step 2: Convert to fraction form
    2,904.08/4,007.04 = 1,785.20/x
  3. Step 3: Cross multiply
    2,904.08x = 4,007.04 × 1,785.20
  4. Step 4: Simplify right side
    2,904.08x = 7,153,367.81
  5. Step 5: Solve for x
    x = 7,153,367.81/2,904.08
  6. Step 6: Final answer
    x = 2,463.21

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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.