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Finding the Fourth Proportional to 4,230.49, 5,838 and 2,658.28

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Solution

The fourth proportional to 4,230.49, 5,838 and 2,658.28 is: 3,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.49 : 5,838 = 2,658.28 : x
  2. Step 2: Convert to fraction form
    4,230.49/5,838 = 2,658.28/x
  3. Step 3: Cross multiply
    4,230.49x = 5,838 × 2,658.28
  4. Step 4: Simplify right side
    4,230.49x = 15,519,038.64
  5. Step 5: Solve for x
    x = 15,519,038.64/4,230.49
  6. Step 6: Final answer
    x = 3,668.38

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1.5x scale

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.