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Finding the Fourth Proportional to 6,447.70, 9,715.48 and 5,303.34

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Solution

The fourth proportional to 6,447.70, 9,715.48 and 5,303.34 is: 7,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.70 : 9,715.48 = 5,303.34 : x
  2. Step 2: Convert to fraction form
    6,447.70/9,715.48 = 5,303.34/x
  3. Step 3: Cross multiply
    6,447.70x = 9,715.48 × 5,303.34
  4. Step 4: Simplify right side
    6,447.70x = 51,524,480.44
  5. Step 5: Solve for x
    x = 51,524,480.44/6,447.70
  6. Step 6: Final answer
    x = 7,991.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.