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Finding the Fourth Proportional to 7,813.24, 10,782 and 4,457.14

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Solution

The fourth proportional to 7,813.24, 10,782 and 4,457.14 is: 6,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.24 : 10,782 = 4,457.14 : x
  2. Step 2: Convert to fraction form
    7,813.24/10,782 = 4,457.14/x
  3. Step 3: Cross multiply
    7,813.24x = 10,782 × 4,457.14
  4. Step 4: Simplify right side
    7,813.24x = 48,056,883.48
  5. Step 5: Solve for x
    x = 48,056,883.48/7,813.24
  6. Step 6: Final answer
    x = 6,150.70

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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.