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Finding the Fourth Proportional to 5,291.42, 7,937.04 and 1,828.58

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Solution

The fourth proportional to 5,291.42, 7,937.04 and 1,828.58 is: 2,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.42 : 7,937.04 = 1,828.58 : x
  2. Step 2: Convert to fraction form
    5,291.42/7,937.04 = 1,828.58/x
  3. Step 3: Cross multiply
    5,291.42x = 7,937.04 × 1,828.58
  4. Step 4: Simplify right side
    5,291.42x = 14,513,512.60
  5. Step 5: Solve for x
    x = 14,513,512.60/5,291.42
  6. Step 6: Final answer
    x = 2,742.84

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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.