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Finding the Fourth Proportional to 7,187.70, 10,718.07 and 6,313.78

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Solution

The fourth proportional to 7,187.70, 10,718.07 and 6,313.78 is: 9,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.70 : 10,718.07 = 6,313.78 : x
  2. Step 2: Convert to fraction form
    7,187.70/10,718.07 = 6,313.78/x
  3. Step 3: Cross multiply
    7,187.70x = 10,718.07 × 6,313.78
  4. Step 4: Simplify right side
    7,187.70x = 67,671,536.00
  5. Step 5: Solve for x
    x = 67,671,536.00/7,187.70
  6. Step 6: Final answer
    x = 9,414.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.