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Finding the Fourth Proportional to 6,312.24, 8,709.90 and 3,659.10

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Solution

The fourth proportional to 6,312.24, 8,709.90 and 3,659.10 is: 5,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.24 : 8,709.90 = 3,659.10 : x
  2. Step 2: Convert to fraction form
    6,312.24/8,709.90 = 3,659.10/x
  3. Step 3: Cross multiply
    6,312.24x = 8,709.90 × 3,659.10
  4. Step 4: Simplify right side
    6,312.24x = 31,870,395.09
  5. Step 5: Solve for x
    x = 31,870,395.09/6,312.24
  6. Step 6: Final answer
    x = 5,048.98

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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.