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Finding the Fourth Proportional to 6,406.70, 9,588.45 and 5,629.10

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Solution

The fourth proportional to 6,406.70, 9,588.45 and 5,629.10 is: 8,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.70 : 9,588.45 = 5,629.10 : x
  2. Step 2: Convert to fraction form
    6,406.70/9,588.45 = 5,629.10/x
  3. Step 3: Cross multiply
    6,406.70x = 9,588.45 × 5,629.10
  4. Step 4: Simplify right side
    6,406.70x = 53,974,343.90
  5. Step 5: Solve for x
    x = 53,974,343.90/6,406.70
  6. Step 6: Final answer
    x = 8,424.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.