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Finding the Fourth Proportional to 4,742.79, 7,114.46 and 1,455.91

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Solution

The fourth proportional to 4,742.79, 7,114.46 and 1,455.91 is: 2,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.79 : 7,114.46 = 1,455.91 : x
  2. Step 2: Convert to fraction form
    4,742.79/7,114.46 = 1,455.91/x
  3. Step 3: Cross multiply
    4,742.79x = 7,114.46 × 1,455.91
  4. Step 4: Simplify right side
    4,742.79x = 10,358,013.46
  5. Step 5: Solve for x
    x = 10,358,013.46/4,742.79
  6. Step 6: Final answer
    x = 2,183.95

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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.