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Finding the Fourth Proportional to 7,144.05, 9,856.50 and 4,628.10

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Solution

The fourth proportional to 7,144.05, 9,856.50 and 4,628.10 is: 6,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.05 : 9,856.50 = 4,628.10 : x
  2. Step 2: Convert to fraction form
    7,144.05/9,856.50 = 4,628.10/x
  3. Step 3: Cross multiply
    7,144.05x = 9,856.50 × 4,628.10
  4. Step 4: Simplify right side
    7,144.05x = 45,616,867.65
  5. Step 5: Solve for x
    x = 45,616,867.65/7,144.05
  6. Step 6: Final answer
    x = 6,385.30

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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.