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Finding the Fourth Proportional to 4,630.77, 6,930.95 and 4,187.70

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Solution

The fourth proportional to 4,630.77, 6,930.95 and 4,187.70 is: 6,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.77 : 6,930.95 = 4,187.70 : x
  2. Step 2: Convert to fraction form
    4,630.77/6,930.95 = 4,187.70/x
  3. Step 3: Cross multiply
    4,630.77x = 6,930.95 × 4,187.70
  4. Step 4: Simplify right side
    4,630.77x = 29,024,718.38
  5. Step 5: Solve for x
    x = 29,024,718.38/4,630.77
  6. Step 6: Final answer
    x = 6,267.80

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1.5x scale

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.