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Finding the Fourth Proportional to 7,210.95, 9,949.41 and 4,066.53

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Solution

The fourth proportional to 7,210.95, 9,949.41 and 4,066.53 is: 5,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.95 : 9,949.41 = 4,066.53 : x
  2. Step 2: Convert to fraction form
    7,210.95/9,949.41 = 4,066.53/x
  3. Step 3: Cross multiply
    7,210.95x = 9,949.41 × 4,066.53
  4. Step 4: Simplify right side
    7,210.95x = 40,459,574.25
  5. Step 5: Solve for x
    x = 40,459,574.25/7,210.95
  6. Step 6: Final answer
    x = 5,610.85

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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.