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Finding the Fourth Proportional to 7,210.62, 9,950.62 and 4,066.78

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Solution

The fourth proportional to 7,210.62, 9,950.62 and 4,066.78 is: 5,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.62 : 9,950.62 = 4,066.78 : x
  2. Step 2: Convert to fraction form
    7,210.62/9,950.62 = 4,066.78/x
  3. Step 3: Cross multiply
    7,210.62x = 9,950.62 × 4,066.78
  4. Step 4: Simplify right side
    7,210.62x = 40,466,982.40
  5. Step 5: Solve for x
    x = 40,466,982.40/7,210.62
  6. Step 6: Final answer
    x = 5,612.14

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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.