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Finding the Fourth Proportional to 7,210.42, 9,945.25 and 4,687.87

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Solution

The fourth proportional to 7,210.42, 9,945.25 and 4,687.87 is: 6,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.42 : 9,945.25 = 4,687.87 : x
  2. Step 2: Convert to fraction form
    7,210.42/9,945.25 = 4,687.87/x
  3. Step 3: Cross multiply
    7,210.42x = 9,945.25 × 4,687.87
  4. Step 4: Simplify right side
    7,210.42x = 46,622,039.12
  5. Step 5: Solve for x
    x = 46,622,039.12/7,210.42
  6. Step 6: Final answer
    x = 6,465.93

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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.