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Finding the Fourth Proportional to 7,210.50, 9,950.49 and 4,066.80

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Solution

The fourth proportional to 7,210.50, 9,950.49 and 4,066.80 is: 5,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.50 : 9,950.49 = 4,066.80 : x
  2. Step 2: Convert to fraction form
    7,210.50/9,950.49 = 4,066.80/x
  3. Step 3: Cross multiply
    7,210.50x = 9,950.49 × 4,066.80
  4. Step 4: Simplify right side
    7,210.50x = 40,466,652.73
  5. Step 5: Solve for x
    x = 40,466,652.73/7,210.50
  6. Step 6: Final answer
    x = 5,612.18

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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.