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Finding the Fourth Proportional to 2,904.55, 4,355.74 and 1,055.21

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Solution

The fourth proportional to 2,904.55, 4,355.74 and 1,055.21 is: 1,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.55 : 4,355.74 = 1,055.21 : x
  2. Step 2: Convert to fraction form
    2,904.55/4,355.74 = 1,055.21/x
  3. Step 3: Cross multiply
    2,904.55x = 4,355.74 × 1,055.21
  4. Step 4: Simplify right side
    2,904.55x = 4,596,217.77
  5. Step 5: Solve for x
    x = 4,596,217.77/2,904.55
  6. Step 6: Final answer
    x = 1,582.42

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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.